Fréchet phase space for nonlinear infinite delay equations in Banach spaces

被引：0
|
作者：
G Divyabharathi
T Sengadir
机构：
[1] Central University of Tamil Nadu,Department of Mathematics
来源：
Proceedings - Mathematical Sciences | 2019年 / 129卷
关键词：
Infinite delay; Fréchet space; semigroup; 35R10; 47H20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the existence of solutions to nonlinear differential equations with infinite delay in Banach spaces. We construct a Fréchet space and the unique solutions are given by semigroups in this Fréchet space. Applications to partial differential equations with infinite delay are given.
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