On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W . 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.

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Bibliographic Details
Published in	Advances in difference equations Vol. 2011; no. 1; pp. 1 - 14
Main Authors	Guiro, Aboudramane, Nyanquini, Ismael, Ouaro, Stanislas
Format	Journal Article
Language	English
Published	Cham Springer International Publishing 01.01.2011 Springer Nature B.V SpringerOpen
Subjects	Analysis Boundary value problems Classification critical point Difference and Functional Equations Difference equations Discrete boundary value problem electrorheological fluids Functional Analysis Hilbert space Mathematical analysis Mathematics Mathematics and Statistics Neumann problem Nonlinearity Ordinary Differential Equations Partial Differential Equations Uniqueness weak solution critical point weak solution Discrete boundary value problem electrorheological fluids
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ISSN	1687-1847 1687-1839 1687-1847
DOI	10.1186/1687-1847-2011-32

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Summary:	In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W . 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Bibliography:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/1687-1847-2011-32