Solutions and Periodic Solutions for Nonlinear Evolution Equations with Non-Monotone Perturbations

被引：0
|
作者：
Avgerinos, E. P. [1 ]
Papageorgiou, N. S. [2 ]
机构：
[1] Univ Aegean, Div Math, Dept Educ, Rhodes 85100, Greece
[2] Nat Techn Univ, Dept Math, Athens 15780, Greece
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1998年 / 17卷 / 04期
关键词：
Evolution triples; compact embeddings; coercive operators; pseudomonotone operators; L-pseudomonotone operators; surjectivity results; demicontinuity; parabolic problems;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we solve periodic and Cauchy problems for nonlinear evolution equations driven by time-dependent, pseudomonotone operators and a non-monotone perturbation term. Our proof produces as a by-product a useful property of the solution map for maximal monotone problems. Two examples of nonlinear parabolic problems illustrate the applicability of our work.
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页码：859 / 875
页数：17
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