Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities

被引：117
|
作者：
Aizicovici, S [1 ]
McKibben, M
Reich, S
机构：
[1] Ohio Univ, Dept Math, Athens, OH 45701 USA
[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 02期
关键词：
anti-periodic solution; evolution equation; maximal monotone operator; discontinuous nonlinearity;
D O I：
10.1016/S0362-546X(99)00192-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The generalized solutions for locally bounded, continuous, nonlinear equations were analyzed. The anti-periodic problems for nonlinear partial differential equations were analyzed by applying the sum of a nonmonotone operator and a superposition operator. First and second order integral equations were analyzed for nonlinearities by applying various boundary value conditions.
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页码：233 / 251
页数：19
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