Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
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چکیده مقاله:
In this paper we consider the second order nonlinear neutral delay partial difference equation $Delta_nDelta_mbig(x_{m,n}+a_{m,n}x_{m-k,n-l}big)+ fbig(m,n,x_{m-tau,n-sigma}big)=b_{m,n}, mgeq m_{0},, ngeq n_{0}.$Under suitable conditions, by making use of the Banach fixed point theorem, we show the existence of uncountably many bounded positive solutions for the above partial difference equation. Three nontrivial examples are given to illustrate the advantages of our results.
منابع مشابه
uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
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عنوان ژورنال
دوره 41 شماره 2
صفحات 389- 405
تاریخ انتشار 2015-04-01
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