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.
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页码：679 / 701
页数：23
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