With the rapid development of network technology, the human production mode, life style, and thinking mode have had the great change, meanwhile human values and morality are new changes. Network technology has created...With the rapid development of network technology, the human production mode, life style, and thinking mode have had the great change, meanwhile human values and morality are new changes. Network technology has created a brand of new social form and social network, which is an extension of the real social life. The purpose of this paper is to clarify the concept of a freedom of information analyzed by the principle of free network information. In this paper, theoretical and empirical combination is based on using multidisciplinary theory study from the perspective of moral cognition of this analysis. The problems of the network ethics which try to find out the method to solve the problem, standardize and strengthen the construction of the new good network ethics, purify network environment, and improve people's spiritual world and moral accomplishment, have important theoretical and empirical significance.展开更多
Based on the applicable principle of liquidated damages in "contract law", based on the improvement of the system, the article first analyzes the status quo of the development of the default system and secondly puts...Based on the applicable principle of liquidated damages in "contract law", based on the improvement of the system, the article first analyzes the status quo of the development of the default system and secondly puts forward some suggestions for improvement. The final purpose is to perfect the liquidated damages system with the Contract Law, in a bid to enhance the fairness of liquidated damages.展开更多
Contract belongs to legal document which bears its own characteristics.It uses formal style and distinct formulation in structure,complex and long sentence,formal and archaic words and so on.This paper,based on the re...Contract belongs to legal document which bears its own characteristics.It uses formal style and distinct formulation in structure,complex and long sentence,formal and archaic words and so on.This paper,based on the reading of many legal documents and other relevant books,discusses the language characteristics and the principles of the translation of contract.展开更多
The purpose of this paper is to study the weak convergence problems of the implicity iteration process for Lipschitzian pseudocontractive semi-groups in the general Banach spaces. The results presented in this paper e...The purpose of this paper is to study the weak convergence problems of the implicity iteration process for Lipschitzian pseudocontractive semi-groups in the general Banach spaces. The results presented in this paper extend and improve the corresponding results of some people.展开更多
The translation of English sale contracts of goods has become an important step in international goods sales. In order to resolve the difficulties, the translation of long sentences, the author defines what the transl...The translation of English sale contracts of goods has become an important step in international goods sales. In order to resolve the difficulties, the translation of long sentences, the author defines what the translation of English sale contracts of goods is in the international goods sales based on skopos theory. Then the author presents four principles: accuracy, fluency, standard and preciseness for the translation of long sentences in view of the purpose of translation, the nature of readership and the type of texts. And the author further advances feasible methods for the translation of long sentences after analyzing their features. These principles and methods are proven to be meaningful in the translation of English sale contracts of goods.展开更多
This paper is concerned with the existence and uniqueness of solution for a class of stochastic functional equation: X =φ(X), where φ: B → B and B is a Banach space consisted of all left-continuous, (■_t)-adapted ...This paper is concerned with the existence and uniqueness of solution for a class of stochastic functional equation: X =φ(X), where φ: B → B and B is a Banach space consisted of all left-continuous, (■_t)-adapted processes. Also, the main result is applied to some S.D.E (or S.I.E.). And the authors adopted some of the results in current research in the models of stochastic control recently. This paper proves the ekistence and uniquence and uniqueness of solution for stochastic functional equation. A series of corollaries are deduced from the special examples of the theorems in this paper.展开更多
Aim To investigate the existence of positive solutions for impulsive neutral differential equations. Methods The Banach contraction principle was used to establish our results. Results and Conclusion The results of...Aim To investigate the existence of positive solutions for impulsive neutral differential equations. Methods The Banach contraction principle was used to establish our results. Results and Conclusion The results of the existence of positive solutions for impulsive neutral differential equations are obtained.展开更多
In paper [5], we proposed the boundary expanding-contracting principle and the boundary expanding-contracting method (BECM). In this paper we make some complemental statements and detailed proofs about the principle.
In this paper, we study a boundary value problem of nonlinear fractional dif- ferential equations of order q (1 〈 q 〈 2) with non-separated integral boundary conditions. Some new existence and uniqueness results a...In this paper, we study a boundary value problem of nonlinear fractional dif- ferential equations of order q (1 〈 q 〈 2) with non-separated integral boundary conditions. Some new existence and uniqueness results are obtained by using some standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also presented. We extend previous results even in the integer case q = 2.展开更多
In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are ob...In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results.展开更多
By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel’skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous ...By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel’skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous boundary value problem (BVP1): where for The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative .展开更多
In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-S...In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-Schauder Alternative and Banach Contraction Principle.Finally an example is given to illustrate our problem.展开更多
In this paper we discuss stochastic differential equations with a kind of periodic boundary value conditions(in sense of mean value). Appealing to the decomposition of equations, the existence of solutions is obtain...In this paper we discuss stochastic differential equations with a kind of periodic boundary value conditions(in sense of mean value). Appealing to the decomposition of equations, the existence of solutions is obtained by using the contraction mapping principle and Leray-Schauder fixed point theorem, respectively.展开更多
In physics, there are two main energy formulas. One is kinetic energy formula and the another is Einstein equation. But kinetic energy formula can only calculate low speed motion. Einstein equation can only calculate ...In physics, there are two main energy formulas. One is kinetic energy formula and the another is Einstein equation. But kinetic energy formula can only calculate low speed motion. Einstein equation can only calculate light speed motion. The two formulas are not unified. We hope to get a unified formula. But it didn’t work. According to the principle of Lorentz contraction, we generalize the contraction of length to the contraction of mass, and obtain a unified energy formula. This is the generalized Einstein equation and the new Einstein kinetic energy formula.展开更多
In this paper, by using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of easily applicable criteria for the existence, uniqueness and global attractivity of po...In this paper, by using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of easily applicable criteria for the existence, uniqueness and global attractivity of positive periodic solution and positive almost periodic solution of a neutral multi-species Logarithmic population model with multiple delays and impulses. The results improve and generalize the known ones in [1], as an application, we also give an example to illustrate the feasibility of our main results.展开更多
The aim of this paper is to study singular dynamics of solutions of Camassa-Holm equation. Based on the semigroup theory of linear operators and Banach contraction mapping principle, we prove the asymptotic stability ...The aim of this paper is to study singular dynamics of solutions of Camassa-Holm equation. Based on the semigroup theory of linear operators and Banach contraction mapping principle, we prove the asymptotic stability of the explicit singular solution of Camassa-Holm equation.展开更多
This paper establishes an ordering contraction mapping principle for increasing mapping in partial ordering metric spaces, and applies it to prove the existence and uniqueness of fixed point for some nonlinear operato...This paper establishes an ordering contraction mapping principle for increasing mapping in partial ordering metric spaces, and applies it to prove the existence and uniqueness of fixed point for some nonlinear operators controlled by a linear operator and phi-concave operator in a partial ordering Banach space. Therefore, this two results are unified.展开更多
文摘With the rapid development of network technology, the human production mode, life style, and thinking mode have had the great change, meanwhile human values and morality are new changes. Network technology has created a brand of new social form and social network, which is an extension of the real social life. The purpose of this paper is to clarify the concept of a freedom of information analyzed by the principle of free network information. In this paper, theoretical and empirical combination is based on using multidisciplinary theory study from the perspective of moral cognition of this analysis. The problems of the network ethics which try to find out the method to solve the problem, standardize and strengthen the construction of the new good network ethics, purify network environment, and improve people's spiritual world and moral accomplishment, have important theoretical and empirical significance.
文摘Based on the applicable principle of liquidated damages in "contract law", based on the improvement of the system, the article first analyzes the status quo of the development of the default system and secondly puts forward some suggestions for improvement. The final purpose is to perfect the liquidated damages system with the Contract Law, in a bid to enhance the fairness of liquidated damages.
文摘Contract belongs to legal document which bears its own characteristics.It uses formal style and distinct formulation in structure,complex and long sentence,formal and archaic words and so on.This paper,based on the reading of many legal documents and other relevant books,discusses the language characteristics and the principles of the translation of contract.
基金supported by the Natural Science Foundation of Yibin University (No. 2007Z3)
文摘The purpose of this paper is to study the weak convergence problems of the implicity iteration process for Lipschitzian pseudocontractive semi-groups in the general Banach spaces. The results presented in this paper extend and improve the corresponding results of some people.
文摘The translation of English sale contracts of goods has become an important step in international goods sales. In order to resolve the difficulties, the translation of long sentences, the author defines what the translation of English sale contracts of goods is in the international goods sales based on skopos theory. Then the author presents four principles: accuracy, fluency, standard and preciseness for the translation of long sentences in view of the purpose of translation, the nature of readership and the type of texts. And the author further advances feasible methods for the translation of long sentences after analyzing their features. These principles and methods are proven to be meaningful in the translation of English sale contracts of goods.
文摘This paper is concerned with the existence and uniqueness of solution for a class of stochastic functional equation: X =φ(X), where φ: B → B and B is a Banach space consisted of all left-continuous, (■_t)-adapted processes. Also, the main result is applied to some S.D.E (or S.I.E.). And the authors adopted some of the results in current research in the models of stochastic control recently. This paper proves the ekistence and uniquence and uniqueness of solution for stochastic functional equation. A series of corollaries are deduced from the special examples of the theorems in this paper.
文摘Aim To investigate the existence of positive solutions for impulsive neutral differential equations. Methods The Banach contraction principle was used to establish our results. Results and Conclusion The results of the existence of positive solutions for impulsive neutral differential equations are obtained.
文摘In paper [5], we proposed the boundary expanding-contracting principle and the boundary expanding-contracting method (BECM). In this paper we make some complemental statements and detailed proofs about the principle.
文摘In this paper, we study a boundary value problem of nonlinear fractional dif- ferential equations of order q (1 〈 q 〈 2) with non-separated integral boundary conditions. Some new existence and uniqueness results are obtained by using some standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also presented. We extend previous results even in the integer case q = 2.
文摘In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilineax differential equations under sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results.
文摘By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel’skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous boundary value problem (BVP1): where for The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative .
文摘In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-Schauder Alternative and Banach Contraction Principle.Finally an example is given to illustrate our problem.
基金The NSF(1308085MA01,1508085QA01)of Anhui Provincethe Provincial Natural Science Research Project(KJ2014A010)of Anhui Colleges+1 种基金the National Natural Science Youth Foundation(11301004)of ChinaOutstanding Youth Key Foundation(2013SQRL087ZD)of Colleges and Universities in Anhui Province
文摘In this paper we discuss stochastic differential equations with a kind of periodic boundary value conditions(in sense of mean value). Appealing to the decomposition of equations, the existence of solutions is obtained by using the contraction mapping principle and Leray-Schauder fixed point theorem, respectively.
文摘In physics, there are two main energy formulas. One is kinetic energy formula and the another is Einstein equation. But kinetic energy formula can only calculate low speed motion. Einstein equation can only calculate light speed motion. The two formulas are not unified. We hope to get a unified formula. But it didn’t work. According to the principle of Lorentz contraction, we generalize the contraction of length to the contraction of mass, and obtain a unified energy formula. This is the generalized Einstein equation and the new Einstein kinetic energy formula.
文摘In this paper, by using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of easily applicable criteria for the existence, uniqueness and global attractivity of positive periodic solution and positive almost periodic solution of a neutral multi-species Logarithmic population model with multiple delays and impulses. The results improve and generalize the known ones in [1], as an application, we also give an example to illustrate the feasibility of our main results.
文摘The aim of this paper is to study singular dynamics of solutions of Camassa-Holm equation. Based on the semigroup theory of linear operators and Banach contraction mapping principle, we prove the asymptotic stability of the explicit singular solution of Camassa-Holm equation.
文摘This paper establishes an ordering contraction mapping principle for increasing mapping in partial ordering metric spaces, and applies it to prove the existence and uniqueness of fixed point for some nonlinear operators controlled by a linear operator and phi-concave operator in a partial ordering Banach space. Therefore, this two results are unified.