Bounded positive solutions of a second order nonlinear neutral delay partial difference equation (Q2910013)
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scientific article; zbMATH DE number 6078943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded positive solutions of a second order nonlinear neutral delay partial difference equation |
scientific article; zbMATH DE number 6078943 |
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7 September 2012
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Banach fixed point theorem
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second order nonlinear neutral delay partial difference equation
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uncountably many bounded positive solutions
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Bounded positive solutions of a second order nonlinear neutral delay partial difference equation (English)
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This paper deals with the solvability of the second order nonlinear neutral delay partial difference equation NEWLINE\[NEWLINE\Delta_{n}\Delta_{m}(x_{m, n}+c_{m, n}x_{m-k, n-l})+p_{m, n}f(x_{m-\tau, n-\sigma}), m\geq m_0, n\geq n_0.NEWLINE\]NEWLINE Several sufficient conditions for the existence of uncountably many bounded positive solutions to the partial difference equation are presented by means of the Banach fixed point theorem. Four examples are included to demonstrate the advantages and effectiveness of the results presented in this paper.
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0.9276003837585448
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0.9227312803268432
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0.9026928544044496
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