Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions |
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Authors: | Alberto Cabada Bevan Thompson |
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Institution: | aDepartamento de Análise Matemática, Universidade de Santiago de Compostela, Santiago de Compostela, Spain;bMathematics, SMP, The University of Queensland, Australia |
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Abstract: | In this paper we present existence results for solutions of nonlinear second-order boundary value problems with impulses. Our impulses are applied at p points in the interval and given implicitly by nonlinear functions of the solution. Moreover we allow functional dependence on the solution. Our existence results follow from the existence of a pair of well ordered lower and upper solutions. We generalize earlier results of Cabada and Tomec?ek, allowing more general compatible boundary conditions, impulses and φ-Laplacian equations. |
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Keywords: | MSC: primary 34B37 secondary 34B15 34B27 |
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