In this paper,by using Schaefer fixed-point theorem,the existence of mild solutions of semilinear impulsive delay differential equations with nonlocal conditions is studied.The results obtained are a generalization an...In this paper,by using Schaefer fixed-point theorem,the existence of mild solutions of semilinear impulsive delay differential equations with nonlocal conditions is studied.The results obtained are a generalization and continuation of the recent results on this issue.In the end,an example is given to show the application of the results.展开更多
In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic ...In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results of the existence of positive periodic solution about the equation are obtained.展开更多
In this paper,we study the existence and approximation of solution to boundary value problems for impulsive differential equations with delayed arguments.Sufficient conditions are established for the existence of a un...In this paper,we study the existence and approximation of solution to boundary value problems for impulsive differential equations with delayed arguments.Sufficient conditions are established for the existence of a unique solution or extremal ones to the given problem.A monotone iterative technique is applied.展开更多
By employing a fixed point theorem in cones,we investigate the existence of almost periodic solutions to an impulsive pure delay Logistic equation. A set of suffcient conditions for the existence of almost periodic so...By employing a fixed point theorem in cones,we investigate the existence of almost periodic solutions to an impulsive pure delay Logistic equation. A set of suffcient conditions for the existence of almost periodic solutions to the equation are obtained.展开更多
By considering solution curve＇s or surface＇s composition of the functions of several variables and constructing the suitable lower-upper solution pair for the following special diffusive Hematopoiesis modelunder Neu...By considering solution curve＇s or surface＇s composition of the functions of several variables and constructing the suitable lower-upper solution pair for the following special diffusive Hematopoiesis modelunder Neumann boundary condition, sufficient conditions are provided for the oscillation of the positive equilibrium for （0.1）. Moreover, these results extend or complement existing results.展开更多
基金National Natural Science Foundation of China(No.10971139)Fundamental Research Funds for the Central Universities,China(No.B081)
文摘In this paper,by using Schaefer fixed-point theorem,the existence of mild solutions of semilinear impulsive delay differential equations with nonlocal conditions is studied.The results obtained are a generalization and continuation of the recent results on this issue.In the end,an example is given to show the application of the results.
基金This research had been supported by the National Nature Science Foundation of China (No. 10241005)the Key Program of Ministry of Education of China (No. 205068).
文摘In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results of the existence of positive periodic solution about the equation are obtained.
基金This work was supported by the National Natural Science Foundation of China (10571050)Hunan Provincial Natural Science Foundation of China (05JJ40013)and Scientific Research Fund of Hunan Provincial Education Department (05C413).
文摘In this paper,we study the existence and approximation of solution to boundary value problems for impulsive differential equations with delayed arguments.Sufficient conditions are established for the existence of a unique solution or extremal ones to the given problem.A monotone iterative technique is applied.
文摘By employing a fixed point theorem in cones,we investigate the existence of almost periodic solutions to an impulsive pure delay Logistic equation. A set of suffcient conditions for the existence of almost periodic solutions to the equation are obtained.
基金supported by Tianyuan Fund of Mathematics (Grant No. 10826058) from National Natural Sciences Foundation of ChinaMITACS Canada-China Thematic Program
文摘By considering solution curve＇s or surface＇s composition of the functions of several variables and constructing the suitable lower-upper solution pair for the following special diffusive Hematopoiesis modelunder Neumann boundary condition, sufficient conditions are provided for the oscillation of the positive equilibrium for （0.1）. Moreover, these results extend or complement existing results.
