This paper is concerned with the existence of solution to a nonlinear neutral stochastic diferential system with delay in a Hilbert Space. Sufcient conditions for the existence are obtained using the Schaefer fxed poi...This paper is concerned with the existence of solution to a nonlinear neutral stochastic diferential system with delay in a Hilbert Space. Sufcient conditions for the existence are obtained using the Schaefer fxed point theorem.展开更多
In this paper, we establish necessary and sufficient conditions for the zero solution to a class of higher order delay linear difference equations to be asymptotically stable, which are easy to be verified and to be a...In this paper, we establish necessary and sufficient conditions for the zero solution to a class of higher order delay linear difference equations to be asymptotically stable, which are easy to be verified and to be applied.展开更多
In this paper, we consider a three-species ratio-dependent predator-prey model governed by difference equations with periodic coefficients. By using the method of coincidence degree, we discuss the existence of positi...In this paper, we consider a three-species ratio-dependent predator-prey model governed by difference equations with periodic coefficients. By using the method of coincidence degree, we discuss the existence of positive periodic solutions of this system, a set of easily verifiable sufficient conditions are derived.展开更多
基金supported by the grant of Chongqing Municipal Educational Commission(No.KJ120609)Natural Science Foundation Project of CSTC,2010BB9318+1 种基金CQ CSTC,2009BB3057the Ph.D.Foundation of Chongqing Normal University under Grants No.09XLB007
文摘This paper is concerned with the existence of solution to a nonlinear neutral stochastic diferential system with delay in a Hilbert Space. Sufcient conditions for the existence are obtained using the Schaefer fxed point theorem.
文摘In this paper, we establish necessary and sufficient conditions for the zero solution to a class of higher order delay linear difference equations to be asymptotically stable, which are easy to be verified and to be applied.
基金Supported by National Natural Sciences Foundation of P.R.China (No.10171010 and 10201005)the Key Project on Science and Technology of the Education Ministry of P.R.China(No.01061)
文摘In this paper, we consider a three-species ratio-dependent predator-prey model governed by difference equations with periodic coefficients. By using the method of coincidence degree, we discuss the existence of positive periodic solutions of this system, a set of easily verifiable sufficient conditions are derived.
