This paper deals with the existence and multiplicity of positive solutions to second order period boundary value problems with impulse effects. The proof of our main results relies on a well-known fixed point theorem ...This paper deals with the existence and multiplicity of positive solutions to second order period boundary value problems with impulse effects. The proof of our main results relies on a well-known fixed point theorem in cones. The paper extends some previous results and reports some new results about impulsive differential equations.展开更多
In this paper,the existence of positive periodic solutions to a second-order differential inclusion is considered.Some existence results are established by the fixed-point theorem for multivalued operators and Sobolev...In this paper,the existence of positive periodic solutions to a second-order differential inclusion is considered.Some existence results are established by the fixed-point theorem for multivalued operators and Sobolev constant.展开更多
Using Mawhin's continuation theorem of coincidence degree theory,the existence of periodic solutions to a neutral ratio-dependent predator-prey system is considered.The results in this paper generalize the corresp...Using Mawhin's continuation theorem of coincidence degree theory,the existence of periodic solutions to a neutral ratio-dependent predator-prey system is considered.The results in this paper generalize the corresponding results of the known literature.展开更多
Based on the Leggett-Williams fixed point theorem for a Banach space, we establish the existence of three positive periodic solutions for a class of delay difference equations.
In this paper, we investigate the problem of the existence of positive solutions to a non-linear second-order periodic boundary value problem. The proof relies on a non-linear alternative of Leray-Schauder type and a ...In this paper, we investigate the problem of the existence of positive solutions to a non-linear second-order periodic boundary value problem. The proof relies on a non-linear alternative of Leray-Schauder type and a fxed point theorem in cones.展开更多
基金Supported by the National Natural Science Foundation of China(No.10571021,10701020)Key Laboratory for Applied Statistics of MOE(KLAS)
文摘This paper deals with the existence and multiplicity of positive solutions to second order period boundary value problems with impulse effects. The proof of our main results relies on a well-known fixed point theorem in cones. The paper extends some previous results and reports some new results about impulsive differential equations.
基金supported by the Natural Science Foundation of Education Committee of Hubei Province (Q20091107)Hubei Province Key Laboratory of Systems Science in Metallurgical Process (C201015)WUST (2008RC01)
文摘In this paper,the existence of positive periodic solutions to a second-order differential inclusion is considered.Some existence results are established by the fixed-point theorem for multivalued operators and Sobolev constant.
文摘Using Mawhin's continuation theorem of coincidence degree theory,the existence of periodic solutions to a neutral ratio-dependent predator-prey system is considered.The results in this paper generalize the corresponding results of the known literature.
基金Project partially supported by Natural Science Foundation of Shanxi Province and Yanbei Normal University and by High Science and Technology Foundation of Shanxi Province and by Science and Technology Bureau of Datong City.
文摘Based on the Leggett-Williams fixed point theorem for a Banach space, we establish the existence of three positive periodic solutions for a class of delay difference equations.
文摘In this paper, we investigate the problem of the existence of positive solutions to a non-linear second-order periodic boundary value problem. The proof relies on a non-linear alternative of Leray-Schauder type and a fxed point theorem in cones.
