Multiplicity results for a class of two-point boundary value systems investigated via variational methods

Multiplicity results for a class of two-point boundary value systems investigated via variational methods

An existence result of multiple solutions for a class of two-point boundary value equations depending upon a positive parameter is established. Our main tool is a recent three critical points theorem due to Bonanno and Marano [G. Bonanno, S.A. Marano, On the structure of the critical set of non-diff...

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Veröffentlicht in:Bulletin mathématiques de la Société des sciences mathématiques de Roumanie 2012-01, Vol.55 (103) (4), p.343-352
Hauptverfasser: Afrouzi, G.A., Hadjian, A., Heidarkhani, S.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Critical points
Differential equations
Mathematical functions
Variational methods
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Zusammenfassung:An existence result of multiple solutions for a class of two-point boundary value equations depending upon a positive parameter is established. Our main tool is a recent three critical points theorem due to Bonanno and Marano [G. Bonanno, S.A. Marano, On the structure of the critical set of non-differentiable functions with a weak compactness condition, Appl. Anal. 89 (2010), 1-10].
ISSN:1220-3874
2065-0264