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- Title
NONTRIVIAL SOLUTIONS FOR STURM–LIOUVILLE SYSTEMS VIA A LOCAL MINIMUM THEOREM FOR FUNCTIONALS.
- Authors
BONANNO, GABRIELE; HEIDARKHANI, SHAPOUR; O’REGAN, DONAL
- 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.
- Subjects
BINOMIAL theorem; FUNCTIONALS; UPPER &; lower solutions (Mathematics); LIOUVILLE'S theorem; STURM-Liouville equation
- Publication
Bulletin of the Australian Mathematical Society, 2014, Vol 89, Issue 1, p8
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S000497271300035X