In this paper, the authors study the existence of positive solution of the following BVP {1/p(t)(P(t)x′)′+f(t,x(t),p(t)x′(t))=0,o〈t〈+∞ αx(0)-βlimt→0p(t)x′(t)=0,γ limt→+∞x(t)+δl...In this paper, the authors study the existence of positive solution of the following BVP {1/p(t)(P(t)x′)′+f(t,x(t),p(t)x′(t))=0,o〈t〈+∞ αx(0)-βlimt→0p(t)x′(t)=0,γ limt→+∞x(t)+δlimt→+∞p(t)x′(t)=0 on the semi-infinite interval. By considering characterization of the nonlinearity, they obtain some new existence results.展开更多
A location and tracking algorithm with NLOS (Non-Line of Sight) errors for MS (Mobile Station) is proposed in this paper. A cellular localization algorithm based on the RON online RBF neural network is proposed. T...A location and tracking algorithm with NLOS (Non-Line of Sight) errors for MS (Mobile Station) is proposed in this paper. A cellular localization algorithm based on the RON online RBF neural network is proposed. The measurement ofAOA, TOA and TDOA provided by mobile base station is fused to locate mobile. The location performance of RON online RBF neural network is simulated. The simulation results indicate that shrink, attenuation, shift or overlapping phenomenon is avoided when the network redundant hidden nodes appear. It' s location accuracy is significantly improved under complicated multi-path environment.展开更多
Fermentative production of chlortetracycline is a complex fed-batch bioprocess. It generally takes over 90 h for cultivation and is often contaminated by undesired microorganisms. Once the fermentation system is conta...Fermentative production of chlortetracycline is a complex fed-batch bioprocess. It generally takes over 90 h for cultivation and is often contaminated by undesired microorganisms. Once the fermentation system is contaminated to certain extent, the product quality and yield will be seriously affected, leading to a substantial economic loss. Using information fusion based on the Dezer–Smarandache theory, self-recursive wavelet neural network and unscented kalman filter, a novel method for online prediction of contamination is developed. All state variables of culture process involving easy-to-measure and difficult-to-measure variables commonly obtained with soft-sensors present their contamination symptoms. By extracting and fusing latent information from the changing trend of each variable, integral and accurate prediction results for contamination can be achieved. This makes preventive and corrective measures be taken promptly. The field experimental results show that the method can be used to detect the contamination in time, reducing production loss and enhancing economic efficiency.展开更多
With the increased use of copper (Cu)-based antifouling (AF) paints, copper has become a potential threat to marine organisms. Experiments were performed to investigate the effects of copper on larvae of the barna...With the increased use of copper (Cu)-based antifouling (AF) paints, copper has become a potential threat to marine organisms. Experiments were performed to investigate the effects of copper on larvae of the barnacle Chthamalus challengeri. These experiments attempted to identify a more sensitive index to monitor copper pollution in marine environments. The 24 h LC_50 ranged from 156.07 μg/L (nauplius Ⅱ) to 817.15μg/L (cypris) and the no observed effect concentration (NOEC) ranged from 81.75 μg/L (nauplius Ⅱ) to 571.04 μg/L (cypris). The cypris settlement rate declined significantly when copper concentrations 〉135 μg/L. No cypris was found in the copper concentration of 60 and 75 μg/L treatment groups stressed for 22 d. Nauplius Ⅱ moulting was not affected by exposure to copper for 24 h; however, when extended to 48 h, the percent moulted in 75 μg/L treatment group was declined to 37.12%, which was significant lower (P〈0.05) than that in the control group. The phototaxis of nauplius II decreased significantly when copper concentrations _〉45 μg/L. Despite an initial significant increase at copper concentrations of 30 μg/L, ammonia excretion rate decreased when copper concentrations ≥60 μg/L. These results suggested that: (1) nauplius Ⅱ could not develop to the cypris when the copper concentration ≥60 μg/L; (2) cypris settlement is more susceptible to copper than cypris mortality rate; (3) nauplius II is the most sensitive larval stage; (4) nauplius II ammonia excretion rate is the most sensitive index to copper and might be as the indicator for copper pollution monitoring.展开更多
Relationship between the radiation conditions at infinity and the transmitting boundary for numerical simulation of the near-field wave motion has been studied in this paper. The conclusion is that the transmitting bo...Relationship between the radiation conditions at infinity and the transmitting boundary for numerical simulation of the near-field wave motion has been studied in this paper. The conclusion is that the transmitting boundary is approximately equivalent to the radiation conditions at infinity for a large class of infinite media. And the errors of the approximation are of the same order of magnitude as those of the finite elements or finite differences in numerical simulation of wave motion. This result provides a sound theoretical basis for the transmitting boundary used in the numerical simulation of the near-field wave motion and gives a complete explanation for the major experiences accumulated in applications of the transmitting boundary to the numerical simulation.展开更多
We study the large time behavior of a 3-D MHD(magneto-hydrodynamical)-type system without magnetic diffusion introduced by Lin and Zhang(2014). By using the elementary energy method and interpolation technique, we pro...We study the large time behavior of a 3-D MHD(magneto-hydrodynamical)-type system without magnetic diffusion introduced by Lin and Zhang(2014). By using the elementary energy method and interpolation technique, we prove the global existence and decay estimate of smooth solution near the equilibrium state(x3, 0).展开更多
This paper aims to study the solvability of vector Ky Fan inequalities and the compactness of its solution sets.For vector-valued functions with the cone semicontinuity and the cone quasiconvexity in infinite dimensio...This paper aims to study the solvability of vector Ky Fan inequalities and the compactness of its solution sets.For vector-valued functions with the cone semicontinuity and the cone quasiconvexity in infinite dimensional spaces,the authors prove some existence results of the solutions and the compactness of the solution sets.Especially,some results for the vector Ky Fan inequalities on noncompact sets are built and the compactness of its solution sets are also discussed.As applications,some existence theorems of the solutions of vector variational inequalities are obtained.展开更多
In this paper,we study the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic equations with singular potential term.By using the logarithmic Sobolev inequality and Hardy's inequality,the ...In this paper,we study the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic equations with singular potential term.By using the logarithmic Sobolev inequality and Hardy's inequality,the existence and regularity of multiple nontrivial solutions have been proved.展开更多
The PHS (Personal Handy phone System) technology developed in Japan realized high quality and low cost mobile communication in a micro cell and abundant valueadded services. Having considered many advantages of PHS,...The PHS (Personal Handy phone System) technology developed in Japan realized high quality and low cost mobile communication in a micro cell and abundant valueadded services. Having considered many advantages of PHS, this paper proposed PHS-ETC online system as a technological evolution to substitute for the traditional DSRC-ETC. After comparing DSRC with PHS, this paper discussed the framework and layer structure of the DSRC and PHS system. Besides the functions concerned as vehicle identification and wireless communication, this paper also designed routing identification and toll apportionment functions to meet the needs of ETC. And the newly-designed functions could not be provided by DSRC system. By appending the Presentation Layer, the system could make full use of the existing function modules of DSRC and PHS, and the reconstruction would be greatly saved. Moreover, the system could extend many value-added services of PHS to the expressway, such as real-time traffic advisories, up-to-date navigation guidance, emergency communication, etc.展开更多
The authors mainly study the generalized symplectic mean curvature flow in an almost Einstein surface,and prove that this flow has no type-I singularity.In the graph case,the global existence and convergence of the fl...The authors mainly study the generalized symplectic mean curvature flow in an almost Einstein surface,and prove that this flow has no type-I singularity.In the graph case,the global existence and convergence of the flow at infinity to a minimal surface with metric of the ambient space conformal to the original one are also proved.展开更多
In view of the high voltage, the strong magnetic field environment of the high-voltage switchgear, the system based on the optical wireless sensing technology, realizes the isolated contact temperature monitoring of t...In view of the high voltage, the strong magnetic field environment of the high-voltage switchgear, the system based on the optical wireless sensing technology, realizes the isolated contact temperature monitoring of the high-voltage switchgear. In this scheme, the good thermal conductivity and insulation ceramic materials were selected as the outer jacket material sensing probe, and the program had a good solution to the problem of high and low voltage isolation; The combination of the optical fiber composite insulators for wireless sensing, not only solves the problem of high voltage insulation, but also avoids the "creeping" phenomenon due to dust. The package of the structure and reasonable installation solves the cross sensitivity of strain. The application showed that the precision of temperature measurement of the system could reach ± 0.5 ℃ and could work in a variety of harsh environments. It could improve the reliability of the operation of the electrical equipment significantly and has considerable practical value for the whole power system.展开更多
The author proves the local existence of smooth solutions to the finite extensible nonlinear elasticity (FENE) dumbbell model of polymeric flows in some weighted spaces if the non-dimensional parameter b > 2.
This paper deals with the existence of periodic solutions of a nonhomogeneous string with Dirichlet-Neumann condition. The authors consider the case that the period is irrational multiple of space length and prove tha...This paper deals with the existence of periodic solutions of a nonhomogeneous string with Dirichlet-Neumann condition. The authors consider the case that the period is irrational multiple of space length and prove that for some irrational number, zero is not the accumulation point of the spectrum of the associated linear operator. This result can be used to prove the existence of the periodic solution avoid using Nash-Moser iteration.展开更多
By constructing a special cone and applying the fixed point theorem of cone compression and expansion,this paper investigates the existence of positive solutions for a class of first order singular boundary value prob...By constructing a special cone and applying the fixed point theorem of cone compression and expansion,this paper investigates the existence of positive solutions for a class of first order singular boundary value problem(BVP,for short) on unbounded domains.Moreover,an incomparable result about two positive solutions for the BVP is also obtained and an example is given to illustrate the application of the main results.展开更多
We study the existence and uniqueness of the solution to a forward-backward stochastic differential equation with subdifferential operator in the backward equation. This kind of equations includes, as a particular cas...We study the existence and uniqueness of the solution to a forward-backward stochastic differential equation with subdifferential operator in the backward equation. This kind of equations includes, as a particular case, multi-dimensional forward-backward stochastic differential equation where the backward equation is reflected on the boundary of a closed convex(time-independent) domain. Moreover, we give a probabilistic interpretation for the viscosity solution of a kind of quasilinear variational inequalities.展开更多
基金Supported by the Natural Scientific Fund of Zhejiang Province(Y604127)Supported by the Educational Scientific Fund of Zhejiang Province(20030594)
文摘In this paper, the authors study the existence of positive solution of the following BVP {1/p(t)(P(t)x′)′+f(t,x(t),p(t)x′(t))=0,o〈t〈+∞ αx(0)-βlimt→0p(t)x′(t)=0,γ limt→+∞x(t)+δlimt→+∞p(t)x′(t)=0 on the semi-infinite interval. By considering characterization of the nonlinearity, they obtain some new existence results.
文摘A location and tracking algorithm with NLOS (Non-Line of Sight) errors for MS (Mobile Station) is proposed in this paper. A cellular localization algorithm based on the RON online RBF neural network is proposed. The measurement ofAOA, TOA and TDOA provided by mobile base station is fused to locate mobile. The location performance of RON online RBF neural network is simulated. The simulation results indicate that shrink, attenuation, shift or overlapping phenomenon is avoided when the network redundant hidden nodes appear. It' s location accuracy is significantly improved under complicated multi-path environment.
文摘Fermentative production of chlortetracycline is a complex fed-batch bioprocess. It generally takes over 90 h for cultivation and is often contaminated by undesired microorganisms. Once the fermentation system is contaminated to certain extent, the product quality and yield will be seriously affected, leading to a substantial economic loss. Using information fusion based on the Dezer–Smarandache theory, self-recursive wavelet neural network and unscented kalman filter, a novel method for online prediction of contamination is developed. All state variables of culture process involving easy-to-measure and difficult-to-measure variables commonly obtained with soft-sensors present their contamination symptoms. By extracting and fusing latent information from the changing trend of each variable, integral and accurate prediction results for contamination can be achieved. This makes preventive and corrective measures be taken promptly. The field experimental results show that the method can be used to detect the contamination in time, reducing production loss and enhancing economic efficiency.
基金Supported by the National Natural Science Foundation of China(No.3107045820)the State Oceanic Administration Public Welfare Project(Nos.201305009,201305009-4,201005007)
文摘With the increased use of copper (Cu)-based antifouling (AF) paints, copper has become a potential threat to marine organisms. Experiments were performed to investigate the effects of copper on larvae of the barnacle Chthamalus challengeri. These experiments attempted to identify a more sensitive index to monitor copper pollution in marine environments. The 24 h LC_50 ranged from 156.07 μg/L (nauplius Ⅱ) to 817.15μg/L (cypris) and the no observed effect concentration (NOEC) ranged from 81.75 μg/L (nauplius Ⅱ) to 571.04 μg/L (cypris). The cypris settlement rate declined significantly when copper concentrations 〉135 μg/L. No cypris was found in the copper concentration of 60 and 75 μg/L treatment groups stressed for 22 d. Nauplius Ⅱ moulting was not affected by exposure to copper for 24 h; however, when extended to 48 h, the percent moulted in 75 μg/L treatment group was declined to 37.12%, which was significant lower (P〈0.05) than that in the control group. The phototaxis of nauplius II decreased significantly when copper concentrations _〉45 μg/L. Despite an initial significant increase at copper concentrations of 30 μg/L, ammonia excretion rate decreased when copper concentrations ≥60 μg/L. These results suggested that: (1) nauplius Ⅱ could not develop to the cypris when the copper concentration ≥60 μg/L; (2) cypris settlement is more susceptible to copper than cypris mortality rate; (3) nauplius II is the most sensitive larval stage; (4) nauplius II ammonia excretion rate is the most sensitive index to copper and might be as the indicator for copper pollution monitoring.
基金the Joint Seismological Science Foundation. Prof. Dai Yishan in Harbin Engineering University has read the manuscript and made relevant comments The expansions of 1/r and r using the Legendre polynomials and the proof of eq (29) on the properties of
文摘Relationship between the radiation conditions at infinity and the transmitting boundary for numerical simulation of the near-field wave motion has been studied in this paper. The conclusion is that the transmitting boundary is approximately equivalent to the radiation conditions at infinity for a large class of infinite media. And the errors of the approximation are of the same order of magnitude as those of the finite elements or finite differences in numerical simulation of wave motion. This result provides a sound theoretical basis for the transmitting boundary used in the numerical simulation of the near-field wave motion and gives a complete explanation for the major experiences accumulated in applications of the transmitting boundary to the numerical simulation.
基金supported by National Natural Science Foundation of China (Grant Nos. 11371039 and 11425103)
文摘We study the large time behavior of a 3-D MHD(magneto-hydrodynamical)-type system without magnetic diffusion introduced by Lin and Zhang(2014). By using the elementary energy method and interpolation technique, we prove the global existence and decay estimate of smooth solution near the equilibrium state(x3, 0).
基金supported by the Science and Technology Foundation of Guizhou Province under Grant No.20102133
文摘This paper aims to study the solvability of vector Ky Fan inequalities and the compactness of its solution sets.For vector-valued functions with the cone semicontinuity and the cone quasiconvexity in infinite dimensional spaces,the authors prove some existence results of the solutions and the compactness of the solution sets.Especially,some results for the vector Ky Fan inequalities on noncompact sets are built and the compactness of its solution sets are also discussed.As applications,some existence theorems of the solutions of vector variational inequalities are obtained.
基金supported by National Natural Science Foundation of China (Grant No.11131005)PHD Programs Foundation of Ministry of Education of China (Grant No. 20090141110003)the Fundamental Research Funds for the Central Universities (Grant No. 2012201020202)
文摘In this paper,we study the Dirichlet problem for a class of semi-linear infinitely degenerate elliptic equations with singular potential term.By using the logarithmic Sobolev inequality and Hardy's inequality,the existence and regularity of multiple nontrivial solutions have been proved.
文摘The PHS (Personal Handy phone System) technology developed in Japan realized high quality and low cost mobile communication in a micro cell and abundant valueadded services. Having considered many advantages of PHS, this paper proposed PHS-ETC online system as a technological evolution to substitute for the traditional DSRC-ETC. After comparing DSRC with PHS, this paper discussed the framework and layer structure of the DSRC and PHS system. Besides the functions concerned as vehicle identification and wireless communication, this paper also designed routing identification and toll apportionment functions to meet the needs of ETC. And the newly-designed functions could not be provided by DSRC system. By appending the Presentation Layer, the system could make full use of the existing function modules of DSRC and PHS, and the reconstruction would be greatly saved. Moreover, the system could extend many value-added services of PHS to the expressway, such as real-time traffic advisories, up-to-date navigation guidance, emergency communication, etc.
基金Project supported by the National Natural Science Foundation of China(Nos.11071236,11131007,10421101)
文摘The authors mainly study the generalized symplectic mean curvature flow in an almost Einstein surface,and prove that this flow has no type-I singularity.In the graph case,the global existence and convergence of the flow at infinity to a minimal surface with metric of the ambient space conformal to the original one are also proved.
文摘In view of the high voltage, the strong magnetic field environment of the high-voltage switchgear, the system based on the optical wireless sensing technology, realizes the isolated contact temperature monitoring of the high-voltage switchgear. In this scheme, the good thermal conductivity and insulation ceramic materials were selected as the outer jacket material sensing probe, and the program had a good solution to the problem of high and low voltage isolation; The combination of the optical fiber composite insulators for wireless sensing, not only solves the problem of high voltage insulation, but also avoids the "creeping" phenomenon due to dust. The package of the structure and reasonable installation solves the cross sensitivity of strain. The application showed that the precision of temperature measurement of the system could reach ± 0.5 ℃ and could work in a variety of harsh environments. It could improve the reliability of the operation of the electrical equipment significantly and has considerable practical value for the whole power system.
文摘The author proves the local existence of smooth solutions to the finite extensible nonlinear elasticity (FENE) dumbbell model of polymeric flows in some weighted spaces if the non-dimensional parameter b > 2.
基金supported by the Zhejiang Provincial Department of Education Research Fund(No.Y201326873)
文摘This paper deals with the existence of periodic solutions of a nonhomogeneous string with Dirichlet-Neumann condition. The authors consider the case that the period is irrational multiple of space length and prove that for some irrational number, zero is not the accumulation point of the spectrum of the associated linear operator. This result can be used to prove the existence of the periodic solution avoid using Nash-Moser iteration.
基金Foundation item: the National Natural Science Foundation of China (No. 10671167) the Natural Science Foundation of Liaocheng University (No. 31805).
文摘By constructing a special cone and applying the fixed point theorem of cone compression and expansion,this paper investigates the existence of positive solutions for a class of first order singular boundary value problem(BVP,for short) on unbounded domains.Moreover,an incomparable result about two positive solutions for the BVP is also obtained and an example is given to illustrate the application of the main results.
基金supported by Australian Research Council’s Discovery Projects Funding Scheme(Grant No.DP120100895)
文摘We study the existence and uniqueness of the solution to a forward-backward stochastic differential equation with subdifferential operator in the backward equation. This kind of equations includes, as a particular case, multi-dimensional forward-backward stochastic differential equation where the backward equation is reflected on the boundary of a closed convex(time-independent) domain. Moreover, we give a probabilistic interpretation for the viscosity solution of a kind of quasilinear variational inequalities.