ON ε-REGULAR SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER

被引：0
作者：
Kachalov, V. I. [1 ]
机构：
[1] Natl Res Univ MPEI Moscow, Moscow, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2023年 / 64卷 / 01期
关键词：
evolution problem; strongly continuous semigroup; e-regular solution;
D O I：
10.1134/S0037446623010111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider some nonlinear evolution equation with an unbounded operator depending on a small parameter on the right-hand side and study the existence of solutions holomorphically depending on a parameter. We introduce the notion of epsilon-regular solution and establish the conditions for the epsilon-regular solution to coincide with a solution to this equation.
引用
收藏
页码：94 / 102
页数：9
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