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NONTRIVIAL SOLUTIONS FOR STURM–LIOUVILLE SYSTEMS VIA A LOCAL MINIMUM THEOREM FOR FUNCTIONALS

Published online by Cambridge University Press:  13 June 2013

GABRIELE BONANNO
Affiliation:
Department of Civil, Information Technology, Construction, Environmental Engineering and Applied Mathematics, University of Messina, 98166 - Messina, Italy email bonanno@unime.it
SHAPOUR HEIDARKHANI*
Affiliation:
Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran
DONAL O’REGAN
Affiliation:
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland email donal.oregan@nuigalway.ie
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Abstract

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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.

Type
Research Article
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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