Positive Solutions of a Discontinuous One-Dimensional Beam Equation

被引:0
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作者
Jorge Rodríguez-López
机构
[1] Universidade de Santiago de Compostela,Departamento de Estatística, Análise Matemática e Optimización, Instituto de Matemáticas
[2]   Facultade de Matemáticas,undefined
[3] Campus Vida,undefined
关键词
Fourth-order problem; Positive solution; Krasnosel’skiĭ theorem; Discontinuous differential equations; Multiplicity result; 34B18; 34A36; 47H10;
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摘要
We provide sufficient conditions for the existence of one positive solution for a fourth--order beam equation with a discontinuous nonlinear term. Also a multiplicity result is established. They are based on a recent generalization of the Krasnosel’skiĭ fixed point theorem in cones.
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页码:2357 / 2370
页数:13
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