Contribution to the study of nonlinear boundary value problems
Contribution to the study of nonlinear boundary value problems
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Date
2015-06-09
Auteurs
Haddouchi Faouzi
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Résumé
In this work, we first present an existence result of positive solutions for a class of nonlinear problems at resonance. The essential tool in this study is differential inequalities method. Our results improve the results in [52].
We prove also the existence, positivity and multiplicity of the solutions for a class of nonlinear second-order three-point integral boundary-value problems.
Some existence results of at least one or two positive solutions for a nonlinear third-order three-point boundary value problem are established.
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Mots-clés
Problems at resonance,Periodic solution,
Nonlinear problems,Positive solution,
Three-point boundary value problems,
Integral boundary value problem,
Green’s function,Cone,Fixed point theorem,
Multiple solutions