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Multiple positive solutions for boundary value problems of second order delay differential equations with one-dimensional p-Laplacian |
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| Authors: | Youyu Wang Wenxia Zhao |
| Institution: | a Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, PR China b Department of Applied Mathematics, North China Electric Power University, Baoding 071003, Hebei, PR China c Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China |
| Abstract: | We consider the boundary value problems: (?p(x′′(t)))+q(t)f(t,x(t),x(t−1),x′(t))=0, ?p(s)=|s|p−2s, p>1, t∈(0,1), subject to some boundary conditions. By using a generalization of the Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above problems. |
| Keywords: | Multiple positive solutions Delay differential equations Boundary value problems One-dimensional p-Laplacian |
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