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AN EXISTENCE RESULT OF ONE NONTRIVIAL SOLUTION FOR TWO POINT BOUNDARY VALUE PROBLEMS

Part of: Boundary value problems

Published online by Cambridge University Press:  13 July 2011

GABRIELE BONANNO  and
ANGELA SCIAMMETTA
GABRIELE BONANNO*
Affiliation:
Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166 Messina, Italy (email: bonanno@unime.it)
ANGELA SCIAMMETTA
Affiliation:
Department of Mathematics, University of Messina, 98166 Messina, Italy (email: asciammetta@unime.it)
*
✉For correspondence; e-mail: bonanno@unime.it
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Abstract

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Existence results of positive solutions for a two point boundary value problem are established. No asymptotic condition on the nonlinear term either at zero or at infinity is required. A classical result of Erbe and Wang is improved. The approach is based on variational methods.

Keywords

boundary value problempositive solutions

MSC classification

Secondary: 34B15: Nonlinear boundary value problems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 2 , October 2011 , pp. 288 - 299
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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