کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1136896 | 1489164 | 2010 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Three positive periodic solutions to nonlinear neutral functional differential equations with impulses and parameters on time scales Three positive periodic solutions to nonlinear neutral functional differential equations with impulses and parameters on time scales](/preview/png/1136896.png)
In this paper, using the Leggett–Williams fixed point theorem, we investigate the existence of three positive periodic solutions to the nonlinear neutral functional differential equations with impulses and parameters on time scales {(x(t)+c(t)x(t−r1))Δ=a(t)g(x(t))x(t)−∑i=1nλifi(t,x(t−τi(t))),t≠tj,t∈T,j=1,2,…,q,x(tj−)−x(tj+)=Ij(x(tj)),t=tj,j=1,2,…,q, where λiλi, i=1,2,…,ni=1,2,…,n are parameters, TT is an ωω-periodic time scale, a∈C(T,R+),c∈C(T,[0,1))a∈C(T,R+),c∈C(T,[0,1)) and both of them are ωω-periodic functions, τi∈C(T,R),i=1,2,…,nτi∈C(T,R),i=1,2,…,n areωω-periodic functions, fi∈C(T×R+,R+),i=1,2,…,nfi∈C(T×R+,R+),i=1,2,…,n are nondecreasing with respect to their second arguments and ωω-periodic with respect to their first arguments, respectively; g∈C(R+,R+)g∈C(R+,R+) and there exist two positive constants l,Ll,L such that 0
Journal: Mathematical and Computer Modelling - Volume 52, Issues 9–10, November 2010, Pages 1451–1462