This paper studies the weakly and strictly arbitrage-free security markets. The authors extend the Farkas-Minkowski's Lemma and Stiemke's Lemma from two periods to finite periods and from finite-dimensional (E...This paper studies the weakly and strictly arbitrage-free security markets. The authors extend the Farkas-Minkowski's Lemma and Stiemke's Lemma from two periods to finite periods and from finite-dimensional (Euclidean) space to locally convex topological space and separable Banach space, show weakly and strictly arbitrage-free security pricing theory, then obtain the conditional expectation form of weakly and strictly arbitrage-free security pricing formula.展开更多
In this paper,we consider an iterative sequence for generalized equilibrium problems and strictly pseudocontractive mappings.We show that the iterative sequence converges strongly to a common element of the solution s...In this paper,we consider an iterative sequence for generalized equilibrium problems and strictly pseudocontractive mappings.We show that the iterative sequence converges strongly to a common element of the solution set of generalized equilibrium problems and of the fixed point set of strictly pseudocontractive mappings.展开更多
It is shown that any fixed point of a Lipschitzian,strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.The results in this paper pro...It is shown that any fixed point of a Lipschitzian,strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.The results in this paper provide the new convergence criteria and novel convergence rate estimate for Ishikawa iterative sequence.展开更多
Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the correspondi...Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well.展开更多
Itis shown that any fixed point of each Lipschitzian,strictly pseudocontractive map- ping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure.The argument in th...Itis shown that any fixed point of each Lipschitzian,strictly pseudocontractive map- ping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure.The argument in this paper provides a convergence rate estimate. Moreover the resultin this paper improves,generalizes and summarizes some important and el- egant recent results展开更多
Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics, mathematical physics, theory of dynamical systems, etc.But it is difficult to judge a matrix is or not gen...Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics, mathematical physics, theory of dynamical systems, etc.But it is difficult to judge a matrix is or not generalized strictly diagonally dominant matrix.In this paper, by using the properties of α-chain diagonally dominant matrix, we obtain new criteria for judging generalized strictly diagonally dominant matrix, which enlarge the identification range.展开更多
We give a characterization of the boundaries of smooth strictly convex sets in the Euclidean plane R2?based on the existence and uniqueness of inscribed triangles.
We study the dissociation of strictly confined charmonium states at finite temperature.The strict confinement constraint to the Cornell potential leads to a 10%higher J/(φ)dissociation temperature and in turn a weake...We study the dissociation of strictly confined charmonium states at finite temperature.The strict confinement constraint to the Cornell potential leads to a 10%higher J/(φ)dissociation temperature and in turn a weaker J/(φ)suppression in relativistic heavy ion collisions.展开更多
To capture the subdiffusive characteristics of financial markets, the subordinated process, directed by the inverse α-stale subordinator Sα (t) for 0 〈 α〈 1, has been employed as the model of asset prices. In t...To capture the subdiffusive characteristics of financial markets, the subordinated process, directed by the inverse α-stale subordinator Sα (t) for 0 〈 α〈 1, has been employed as the model of asset prices. In this article, we introduce a multidimensional subdiffusion model that has a bond and K correlated stocks. The stock price process is a multidimen- sional subdiffusion process directed by the inverse a-stable subordinator. This model describes the period of stagnation for each stock and the behavior of the dependency between multiple stocks. Moreover, we derive the multidimensional fractional backward Kolmogorov equation for the subordinated process using the Laplace transform technique. Finally, using a martingale approach, we prove that the multidimensional subdiffusion model is arbitrage-free, and also gives an arbitrage-free pricing rule for contingent claims associated with the martingale measure.展开更多
The first path-independent insertion-loss(PILOSS) strictly non-blocking 4×4 silicon electro–optic switch matrix is reported. The footprint of this switch matrix is only 4.6 mm×1.0 mm. Using single-arm mod...The first path-independent insertion-loss(PILOSS) strictly non-blocking 4×4 silicon electro–optic switch matrix is reported. The footprint of this switch matrix is only 4.6 mm×1.0 mm. Using single-arm modulation, the crosstalk measured in this test is-13 dB --27 dB. And a maximum crosstalk deterioration of 6d B caused by two-path interference is also found.展开更多
In this paper we introduce two sequences of operator functions and their dualfunctions: fk(t) = (flogt)k-(t-1)k/log^k+2t (k = 1,2,...), gk(t) = (t-1)k-logkt /log^k+1t (k = 1,2,...) and fk(t)tklog^k...In this paper we introduce two sequences of operator functions and their dualfunctions: fk(t) = (flogt)k-(t-1)k/log^k+2t (k = 1,2,...), gk(t) = (t-1)k-logkt /log^k+1t (k = 1,2,...) and fk(t)tklog^k+1t/(tlogt)k-(t-1)^k(k=1,2…),gk(t)=t^klog^k+1t/(t-1)^k-log^kt(k=1,2…)defined onWe find that they are all operator monotone functions with respect to the strictly chaoticorder and some ordinary orders among positive invertible operators. Indeed, we extend theresults of the operator monotone function tlogt-t+1/log^2t which is widely used in the theory of heat transfer of the heat engineering and fluid mechanics[1].展开更多
In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient condit...In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient conditions are established. In particular, for the alm ost periodic system , the existence of strictly positive alm ostperiodic solutions is obtained. Som e previous results are im proved and generalized.展开更多
Being an important part of the "four comprehensives" strategic thinking in an all-round way, the comprehensive and strict governance on the paxty has promoted the position of the construction of the party in constru...Being an important part of the "four comprehensives" strategic thinking in an all-round way, the comprehensive and strict governance on the paxty has promoted the position of the construction of the party in constructing the socialism with Chinese characteristics. From the "strict governance on the pasty" to the "comprehensive and strict governance on the party," it doesn't only mean that the "comprehensive" word is added in literal, but the content of innovation and requirements should be improved, and it has the following rules: Our country should adhere to combine the establishment of the ideological paxty and the governance of the institutional pasty, and our country should adhere to combine the comprehensive and strict governance on the pasty and the control of the "key minority." Our country should adhere to the combination of strengthening the main responsibility and playing the role of people's supervision and also should adhere to combine the strict punishment with the effective prevention.展开更多
Without the Lipschitz assumption and boundedness of K in arbitrary Banach spaces, the Ishikawa iteration {x n} ∞ n=1 defined byx 1∈K,\ x n+1 =(1-α n)x n+α nTy n,\ y n=(1-β n)x n+β n...Without the Lipschitz assumption and boundedness of K in arbitrary Banach spaces, the Ishikawa iteration {x n} ∞ n=1 defined byx 1∈K,\ x n+1 =(1-α n)x n+α nTy n,\ y n=(1-β n)x n+β nTx n,\ n≥1satisfying 0<α n,β n<1 ,for all n≥1;∑ ∞ n=1 α n=∞;α n→0,β n→0 as n→∞ is proved to converge strongly to the unique fixed point of T ,where T:K→K is a uniformly continuous strictly pseudo\|contractive operator with bounded range.展开更多
In this paper, the strictly weak major efficient point of set is introduced. A functional as a separate function is constructed, therefore, a necessary and sufficient condition for the strictly weak major efficient po...In this paper, the strictly weak major efficient point of set is introduced. A functional as a separate function is constructed, therefore, a necessary and sufficient condition for the strictly weak major efficient point of set is established.展开更多
Endoscopic mucosal resection (EMR) and endoscopic submucosal dissection (ESD) have recently been accepted as less invasive methods for treating patients with early esophageal cancers such as squamous cell carcinoma an...Endoscopic mucosal resection (EMR) and endoscopic submucosal dissection (ESD) have recently been accepted as less invasive methods for treating patients with early esophageal cancers such as squamous cell carcinoma and dysplasia of Barrett’s esophagus. However, the large defects in the esophageal mucosa often cause severe esophageal strictures, which dramatically reduce the patient’s quality of life. Although preventive endoscopic balloon dilatation can reduce dysphagia and the frequency of dilatation, other approaches are necessary to prevent esophageal strictures after ESD. This review describes several strategies for preventing esophageal strictures after ESD, with a particular focus on anti-inflammatory and tissue engineering approaches. The local injection of triamcinolone acetonide and other systemic steroid therapies are frequently used to prevent esophageal strictures after ESD. Tissue engineering approaches for preventing esophageal strictures have recently been applied in basic research studies. Scaffolds with temporary stents have been applied in five cases, and this technique has been shown to be safe and is anticipated to prevent esophageal strictures. Fabricated autologous oral mucosal epithelial cell sheets to cover the defective mucosa similarly to how commercially available skin products fabricated from epidermal cells are used for skin defects or in cases of intractable ulcers. Fabricated autologous oral-mucosal-epithelial cell sheets have already been shown to be safe.展开更多
A neural-network-based adaptive gain scheduling backstepping sliding mode control(NNAGS-BSMC) approach for a class of uncertain strict-feedback nonlinear system is proposed.First, the control problem of uncertain st...A neural-network-based adaptive gain scheduling backstepping sliding mode control(NNAGS-BSMC) approach for a class of uncertain strict-feedback nonlinear system is proposed.First, the control problem of uncertain strict-feedback nonlinear systems is formulated. Second, the detailed design of NNAGSBSMC is described. The sliding mode control(SMC) law is designed to track a referenced output via backstepping technique.To decrease chattering result from SMC, a radial basis function neural network(RBFNN) is employed to construct the NNAGSBSMC to facilitate adaptive gain scheduling, in which the gains are scheduled adaptively via neural network(NN), with sliding surface and its differential as NN inputs and the gains as NN outputs. Finally, the verification example is given to show the effectiveness and robustness of the proposed approach. Contrasting simulation results indicate that the NNAGS-BSMC decreases the chattering effectively and has better control performance against the BSMC.展开更多
A generalized Lyness equation is investigated as follows x(n+1) = x(n)/(a + bx(n)) x(n-1), n = 0,1,2,..., (*) where a,b is an element of [0, infinity) with a + b > 0 and where the initial values x(-1),x(0) are arbi...A generalized Lyness equation is investigated as follows x(n+1) = x(n)/(a + bx(n)) x(n-1), n = 0,1,2,..., (*) where a,b is an element of [0, infinity) with a + b > 0 and where the initial values x(-1),x(0) are arbitrary positive numbers. Same new results, mainly a necessary and sufficient condition for the periodicity of the solutions of Eq.(*) and a sufficient condition for the strict oscillation of all solutions of Eq (*), are obtained. As an application, the results solve an open problem presented by G. Ladas.展开更多
文摘This paper studies the weakly and strictly arbitrage-free security markets. The authors extend the Farkas-Minkowski's Lemma and Stiemke's Lemma from two periods to finite periods and from finite-dimensional (Euclidean) space to locally convex topological space and separable Banach space, show weakly and strictly arbitrage-free security pricing theory, then obtain the conditional expectation form of weakly and strictly arbitrage-free security pricing formula.
基金supported by National Research Foundation of Korea Grantfunded by the Korean Government (2009-0076898)
文摘In this paper,we consider an iterative sequence for generalized equilibrium problems and strictly pseudocontractive mappings.We show that the iterative sequence converges strongly to a common element of the solution set of generalized equilibrium problems and of the fixed point set of strictly pseudocontractive mappings.
基金Supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Ed-ucation Institutions of MOE,P.R.C.
文摘It is shown that any fixed point of a Lipschitzian,strictly pseudocontractive muping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure.The results in this paper provide the new convergence criteria and novel convergence rate estimate for Ishikawa iterative sequence.
基金the Natural Science Foundation of Zhejiang Province (Y605149)the National Natural Science Foundation of China (10571156)
文摘Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well.
基金This project was supported both by the National Natural Science Foundation of China (1 980 1 0 2 3 ) andby the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institu-tions of MOEP.R.C.
文摘Itis shown that any fixed point of each Lipschitzian,strictly pseudocontractive map- ping T on a closed convex subset K of a Banach space X may be norm approximated by Ishikawa iterative procedure.The argument in this paper provides a convergence rate estimate. Moreover the resultin this paper improves,generalizes and summarizes some important and el- egant recent results
基金Supported by the National Natural Science Foundation of China(71261010)
文摘Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics, mathematical physics, theory of dynamical systems, etc.But it is difficult to judge a matrix is or not generalized strictly diagonally dominant matrix.In this paper, by using the properties of α-chain diagonally dominant matrix, we obtain new criteria for judging generalized strictly diagonally dominant matrix, which enlarge the identification range.
文摘We give a characterization of the boundaries of smooth strictly convex sets in the Euclidean plane R2?based on the existence and uniqueness of inscribed triangles.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10847001,10975084 and 11079024.
文摘We study the dissociation of strictly confined charmonium states at finite temperature.The strict confinement constraint to the Cornell potential leads to a 10%higher J/(φ)dissociation temperature and in turn a weaker J/(φ)suppression in relativistic heavy ion collisions.
基金Project supported by the National Natural Science Foundation of China(Grant No.11171238)
文摘To capture the subdiffusive characteristics of financial markets, the subordinated process, directed by the inverse α-stale subordinator Sα (t) for 0 〈 α〈 1, has been employed as the model of asset prices. In this article, we introduce a multidimensional subdiffusion model that has a bond and K correlated stocks. The stock price process is a multidimen- sional subdiffusion process directed by the inverse a-stable subordinator. This model describes the period of stagnation for each stock and the behavior of the dependency between multiple stocks. Moreover, we derive the multidimensional fractional backward Kolmogorov equation for the subordinated process using the Laplace transform technique. Finally, using a martingale approach, we prove that the multidimensional subdiffusion model is arbitrage-free, and also gives an arbitrage-free pricing rule for contingent claims associated with the martingale measure.
基金Project supported by the National Basic Research Program of China(Grant No.2011CB301701)the National High Technology Research and Development Program of China(Grant Nos.2013AA014402+2 种基金2012AA012202and 2015AA016904)the National Natural Science Foundation of China(Grant Nos.61275065 and 61107048)
文摘The first path-independent insertion-loss(PILOSS) strictly non-blocking 4×4 silicon electro–optic switch matrix is reported. The footprint of this switch matrix is only 4.6 mm×1.0 mm. Using single-arm modulation, the crosstalk measured in this test is-13 dB --27 dB. And a maximum crosstalk deterioration of 6d B caused by two-path interference is also found.
文摘In this paper we introduce two sequences of operator functions and their dualfunctions: fk(t) = (flogt)k-(t-1)k/log^k+2t (k = 1,2,...), gk(t) = (t-1)k-logkt /log^k+1t (k = 1,2,...) and fk(t)tklog^k+1t/(tlogt)k-(t-1)^k(k=1,2…),gk(t)=t^klog^k+1t/(t-1)^k-log^kt(k=1,2…)defined onWe find that they are all operator monotone functions with respect to the strictly chaoticorder and some ordinary orders among positive invertible operators. Indeed, we extend theresults of the operator monotone function tlogt-t+1/log^2t which is widely used in the theory of heat transfer of the heat engineering and fluid mechanics[1].
文摘In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient conditions are established. In particular, for the alm ost periodic system , the existence of strictly positive alm ostperiodic solutions is obtained. Som e previous results are im proved and generalized.
文摘Being an important part of the "four comprehensives" strategic thinking in an all-round way, the comprehensive and strict governance on the paxty has promoted the position of the construction of the party in constructing the socialism with Chinese characteristics. From the "strict governance on the pasty" to the "comprehensive and strict governance on the party," it doesn't only mean that the "comprehensive" word is added in literal, but the content of innovation and requirements should be improved, and it has the following rules: Our country should adhere to combine the establishment of the ideological paxty and the governance of the institutional pasty, and our country should adhere to combine the comprehensive and strict governance on the pasty and the control of the "key minority." Our country should adhere to the combination of strengthening the main responsibility and playing the role of people's supervision and also should adhere to combine the strict punishment with the effective prevention.
文摘Without the Lipschitz assumption and boundedness of K in arbitrary Banach spaces, the Ishikawa iteration {x n} ∞ n=1 defined byx 1∈K,\ x n+1 =(1-α n)x n+α nTy n,\ y n=(1-β n)x n+β nTx n,\ n≥1satisfying 0<α n,β n<1 ,for all n≥1;∑ ∞ n=1 α n=∞;α n→0,β n→0 as n→∞ is proved to converge strongly to the unique fixed point of T ,where T:K→K is a uniformly continuous strictly pseudo\|contractive operator with bounded range.
文摘In this paper, the strictly weak major efficient point of set is introduced. A functional as a separate function is constructed, therefore, a necessary and sufficient condition for the strictly weak major efficient point of set is established.
基金Supported by The Creation of Innovation Centers for Advanced Interdisciplinary Research Areas Program that was part of the Project for Developing Innovation Systems by the Cell Sheet Tissue Engineering Center from the Ministry of Education,Culture,Sports,Science and Technology,Japan
文摘Endoscopic mucosal resection (EMR) and endoscopic submucosal dissection (ESD) have recently been accepted as less invasive methods for treating patients with early esophageal cancers such as squamous cell carcinoma and dysplasia of Barrett’s esophagus. However, the large defects in the esophageal mucosa often cause severe esophageal strictures, which dramatically reduce the patient’s quality of life. Although preventive endoscopic balloon dilatation can reduce dysphagia and the frequency of dilatation, other approaches are necessary to prevent esophageal strictures after ESD. This review describes several strategies for preventing esophageal strictures after ESD, with a particular focus on anti-inflammatory and tissue engineering approaches. The local injection of triamcinolone acetonide and other systemic steroid therapies are frequently used to prevent esophageal strictures after ESD. Tissue engineering approaches for preventing esophageal strictures have recently been applied in basic research studies. Scaffolds with temporary stents have been applied in five cases, and this technique has been shown to be safe and is anticipated to prevent esophageal strictures. Fabricated autologous oral mucosal epithelial cell sheets to cover the defective mucosa similarly to how commercially available skin products fabricated from epidermal cells are used for skin defects or in cases of intractable ulcers. Fabricated autologous oral-mucosal-epithelial cell sheets have already been shown to be safe.
基金supported by the National Natural Science Foundation of China(11502288)the Natural Science Foundation of Hunan Province(2016JJ3019)+1 种基金the Aeronautical Science Foundation of China(2017ZA88001)the Scientific Research Project of National University of Defense Technology(ZK17-03-32)
文摘A neural-network-based adaptive gain scheduling backstepping sliding mode control(NNAGS-BSMC) approach for a class of uncertain strict-feedback nonlinear system is proposed.First, the control problem of uncertain strict-feedback nonlinear systems is formulated. Second, the detailed design of NNAGSBSMC is described. The sliding mode control(SMC) law is designed to track a referenced output via backstepping technique.To decrease chattering result from SMC, a radial basis function neural network(RBFNN) is employed to construct the NNAGSBSMC to facilitate adaptive gain scheduling, in which the gains are scheduled adaptively via neural network(NN), with sliding surface and its differential as NN inputs and the gains as NN outputs. Finally, the verification example is given to show the effectiveness and robustness of the proposed approach. Contrasting simulation results indicate that the NNAGS-BSMC decreases the chattering effectively and has better control performance against the BSMC.
文摘A generalized Lyness equation is investigated as follows x(n+1) = x(n)/(a + bx(n)) x(n-1), n = 0,1,2,..., (*) where a,b is an element of [0, infinity) with a + b > 0 and where the initial values x(-1),x(0) are arbitrary positive numbers. Same new results, mainly a necessary and sufficient condition for the periodicity of the solutions of Eq.(*) and a sufficient condition for the strict oscillation of all solutions of Eq (*), are obtained. As an application, the results solve an open problem presented by G. Ladas.