Well-posedness of second order differential equations with memory

被引：2
|
作者：
Ponce, Rodrigo [1 ]
机构：
[1] Univ Talca, Inst Matemat, Casilla 747, Talca, Chile
来源：
MATHEMATISCHE NACHRICHTEN | 2022年 / 295卷 / 11期
关键词：
equations with fading memory; maximal regularity; operator-valued Fourier multipliers; second order differential equations; HOLDER CONTINUOUS SOLUTIONS; DEGENERATE INTEGRODIFFERENTIAL EQUATIONS; FOURIER MULTIPLIERS; PERIODIC-SOLUTIONS; MAXIMAL REGULARITY; HEAT-CONDUCTION; INFINITE DELAY; MILD SOLUTIONS;
D O I：
10.1002/mana.202000113
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give characterizations of the existence and uniqueness of Holder continuous solutions of certain abstract integro-differential equation with memory in terms of a resolvent operator. Moreover, we give necessary conditions in order to ensure the existence and uniqueness of mild solutions on the real line.
引用
收藏
页码：2246 / 2264
页数：19
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