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

页码：2246 / 2264

页数：19

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