Existence of uncountably many bounded positive solutions for second order nonlinear neutral delay difference equations (Q639066)
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scientific article; zbMATH DE number 5948333
| Language | Label | Description | Also known as |
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| English | Existence of uncountably many bounded positive solutions for second order nonlinear neutral delay difference equations |
scientific article; zbMATH DE number 5948333 |
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Existence of uncountably many bounded positive solutions for second order nonlinear neutral delay difference equations (English)
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18 September 2011
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The authors study the existence of bounded positive solutions of a certain nonlinear neutral delay difference equation. In particular, their conditions improve the results of \textit{R. P. Agarwal}, \textit{S. R. Grace} and \textit{D. O'Regan} [Comput. Math. Appl. 45, No. 6--9, 1297--1302 (2003; Zbl 1052.39003)] and of \textit{Z. Liu}, \textit{Y. G. Xu} and \textit{S. M. Kang} [ibid. 57, No. 4, 587--595 (2009; Zbl 1165.39307)]. The proofs in this paper are based on the Krasnoselskii fixed-point theorem.
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second-order nonlinear neutral delay difference equation
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uncountably many bounded positive solutions
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Krasnoselskii's fixed-point theorem
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