On semi-linear second order Volterra integro-differential equations in Hilbert space

被引：0

作者：

Hwang, Jin-soo ^{[1
]}

Nakagiri, Shin-ichi ^{[2
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

[2] Kobe Univ, Fac Engn, Dept Appl Math, Kobe, Hyogo 6578501, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 03期

关键词：

Volterra integro-differential equation; weak solution; energy equality; viscoelastic equation with long memory;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Existence, uniqueness and regularity of weak solutions of semilinear second order Volterra integro-differential equations in Hilbert space are established by the variational method. As an application we give a well-posedness result for the semilinear viscoelastic equations with long memory.

引用

页码：679 / 701

页数：23

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