By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form {△x（n）=-b（n）x（n）＋f...By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form {△x（n）=-b（n）x（n）＋f（n,x（n-τ1（n））,…,x（n-τm（n））,u（n-δ（n）））,△u（n）=-η（n）u（n）＋a（n）x（n-σ（n））,n∈Z.展开更多
In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient condit...In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient conditions are established. In particular, for the alm ost periodic system , the existence of strictly positive alm ostperiodic solutions is obtained. Som e previous results are im proved and generalized.展开更多
In this paper, we study the nonlinear singular boundary value problems in Banach spaces：-x=f（t,x）,t∈（0,1）,a1x（0）-a2x＇（0）=θ,b1x（1）＋b2x＇（1）=θ.where θ denotes the zero element of E, E is a real Banach...In this paper, we study the nonlinear singular boundary value problems in Banach spaces：-x=f（t,x）,t∈（0,1）,a1x（0）-a2x＇（0）=θ,b1x（1）＋b2x＇（1）=θ.where θ denotes the zero element of E, E is a real Banach space, and f （t, x） is allowed to be singular at both end point t = 0 and t = 1. We show the existence of at least two positive solutions of this problem.展开更多
基金Supported by the National Natural Sciences Foundation of China(10361006)Supported by the Natural Sciences Foundation of Yunnan Province(2003A0001M)Supported by the Jiangsu "Qing-lanProject" for Excellent Young Teachers in University(2006)
文摘By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form {△x（n）=-b（n）x（n）＋f（n,x（n-τ1（n））,…,x（n-τm（n））,u（n-δ（n）））,△u（n）=-η（n）u（n）＋a（n）x（n-σ（n））,n∈Z.
文摘In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient conditions are established. In particular, for the alm ost periodic system , the existence of strictly positive alm ostperiodic solutions is obtained. Som e previous results are im proved and generalized.
基金the "Qing-Lan" Project of Jiangsu Education Committee and the Natural Science Foundation of Jiangsu Education Committee, China (02KJD460011)
文摘In this paper, we study the nonlinear singular boundary value problems in Banach spaces：-x=f（t,x）,t∈（0,1）,a1x（0）-a2x＇（0）=θ,b1x（1）＋b2x＇（1）=θ.where θ denotes the zero element of E, E is a real Banach space, and f （t, x） is allowed to be singular at both end point t = 0 and t = 1. We show the existence of at least two positive solutions of this problem.
