Multiple positive solutions of singular and nonsingular discrete problems via variational methods

Ravi P. Agarwal; Kanishka Perera; Donal O'Regan

doi:10.1016/j.na.2003.11.012

Multiple positive solutions of singular and nonsingular discrete problems via variational methods

Ravi P. Agarwal, Kanishka Perera, Donal O'Regan

Mathematics

Department of Mathematical Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

192 Citations (Scopus)

Abstract

The use of critical point theory to establish the existence of multiple solutions of some regular as well as singular discrete boundary value problems is discussed. The multiple positive solutions of discrete boundary value problems are obtained using positive integer, discrete interval and forward difference operator. The class H of functions is assumed which is T-dimensional Hilbert space with inner product. Various variational methods are used to obtain multiple positive solutions.

Original language	English
Pages (from-to)	69-73
Number of pages	5
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	58
Issue number	1-2
DOIs	https://doi.org/10.1016/j.na.2003.11.012
Publication status	Published - Jul 2004

Keywords

Critical point theory
Discrete boundary value problem
Multiple solutions
Variational methods

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10.1016/j.na.2003.11.012

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abstract = "The use of critical point theory to establish the existence of multiple solutions of some regular as well as singular discrete boundary value problems is discussed. The multiple positive solutions of discrete boundary value problems are obtained using positive integer, discrete interval and forward difference operator. The class H of functions is assumed which is T-dimensional Hilbert space with inner product. Various variational methods are used to obtain multiple positive solutions.",

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AB - The use of critical point theory to establish the existence of multiple solutions of some regular as well as singular discrete boundary value problems is discussed. The multiple positive solutions of discrete boundary value problems are obtained using positive integer, discrete interval and forward difference operator. The class H of functions is assumed which is T-dimensional Hilbert space with inner product. Various variational methods are used to obtain multiple positive solutions.

KW - Critical point theory

KW - Discrete boundary value problem

KW - Multiple solutions

KW - Variational methods

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DO - 10.1016/j.na.2003.11.012

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JO - Nonlinear Analysis, Theory, Methods and Applications

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ER -

Multiple positive solutions of singular and nonsingular discrete problems via variational methods

Abstract

Keywords

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