ABSTRACT VOLTERRA INTEGRAL-EQUATION IN A REFLEXIVE BANACH-SPACE

被引：4

作者：

KIFFE, T

STECHER, M

机构：

[1] Department of Mathematics, Texas A and M University, College Station

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1979年 / 34卷 / 02期

关键词：

D O I：

10.1016/0022-0396(79)90012-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper discusses the existence, uniqueness, and asymptotic behavior of solutions to the equation u(t) + ∝0t a(t - s) Au(s) ds = f(t), where A is a maximal monotone operator mapping the reflexive Banach space V into its dual V′. © 1979.

引用

页码：303 / 325

页数：23

共 13 条

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[7] POSITIVE, NON-INCREASING RESOLVENTS OF VOLTERRA EQUATIONS [J].

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GRIPENBERG G, 1977, HTKKMATA110 HELS U T

[9] L2 SOLUTIONS OF VOLTERRA INTEGRAL-EQUATIONS [J].

KIFFE, T ;

STECHER, M .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1979, 10 (02) :274-280

[10] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO ABSTRACT VOLTERRA INTEGRAL-EQUATIONS [J].

KIFFE, T ;

STECHER, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 68 (02) :169-175

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