Nontrivial solutions for sturm-liouville systems via a local minimum theorem for functionals

Gabriele Bonanno; Shapour Heidarkhani; Donal O'Regan

doi:10.1017/S000497271300035X

Nontrivial solutions for sturm-liouville systems via a local minimum theorem for functionals

Gabriele Bonanno
, Shapour Heidarkhani
, Donal O'Regan

Mathematics

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

14 Citations (Scopus)

Abstract

In this paper, employing a very recent local minimum theorem for differentiable functionals, the existence of at least one nontrivial solution for a class of systems of n second-order Sturm-Liouville equations is established.

Original language	English
Pages (from-to)	8-18
Number of pages	11
Journal	Bulletin of the Australian Mathematical Society
Volume	89
Issue number	1
DOIs	https://doi.org/10.1017/S000497271300035X
Publication status	Published - Feb 2014

Keywords

critical point theory
nontrivial solution
second-order Sturm-Liouville system
variational methods

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10.1017/S000497271300035X

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title = "Nontrivial solutions for sturm-liouville systems via a local minimum theorem for functionals",

abstract = "In this paper, employing a very recent local minimum theorem for differentiable functionals, the existence of at least one nontrivial solution for a class of systems of n second-order Sturm-Liouville equations is established.",

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author = "Gabriele Bonanno and Shapour Heidarkhani and Donal O'Regan",

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AB - In this paper, employing a very recent local minimum theorem for differentiable functionals, the existence of at least one nontrivial solution for a class of systems of n second-order Sturm-Liouville equations is established.

KW - critical point theory

KW - nontrivial solution

KW - second-order Sturm-Liouville system

KW - variational methods

UR - https://www.scopus.com/pages/publications/84893650736

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DO - 10.1017/S000497271300035X

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JO - Bulletin of the Australian Mathematical Society

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IS - 1

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Nontrivial solutions for sturm-liouville systems via a local minimum theorem for functionals

Abstract

Keywords

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