Existence of Monotone Positive Solution of Neutral Partial Difference Equation
نویسندگان
چکیده
منابع مشابه
Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
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...
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A real sequence {xk} is said to be (∗)-monotone with respect to a sequence {pk} and a positive integer σ if xk > 0 and (−1)∆(xk − pkxk−σ) ≥ 0 for n ≥ 0. This paper is concerned with the existence of (∗)-monotone solutions of a neutral difference equation. Existence criteria are derived by means of a comparison theorem and by establishing explicit existence criteria for positive and/or bounded s...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2000
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6829