Existence of Solutions for Nonlinear Nonmonotone Evolution Equations in Banach Spaces with Anti-Periodic Boundary Conditions

被引：0
作者：
Sahbi Boussandel
机构：
[1] University of Carthage,Faculty of Sciences of Bizerte, Department of Mathematics, 7021 Jarzouna Bizerte
[2] Laboratoire EDP et Applications,undefined
来源：
Applications of Mathematics | 2018年 / 63卷
关键词：
existence of solutions; anti-periodic; monotone operator; maximal monotone operator; Schaefer fixed-point theorem; monotonicity method; diffusion equation; 35K10; 35K55; 35K57; 35K59; 35K90; 47J35;
D O I：
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学科分类号：
摘要：
The paper is devoted to the study of the existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces involving anti-periodic boundary conditions. Our approach in this study relies on the theory of monotone and maximal monotone operators combined with the Schaefer fixed-point theorem and the monotonicity method. We apply our abstract results in order to solve a diffusion equation of Kirchhoff type involving the Dirichlet p-Laplace operator.
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页码：523 / 539
页数：16
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