RESOLVENT KERNEL OF AN INTEGRODIFFERENTIAL EQUATION IN HILBERT-SPACE

被引：13
作者：
HANNSGEN, KB [1 ]
机构：
[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT MATH,BLACKSBURG,VA 24061
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1976年 / 7卷 / 04期
关键词：
D O I：
10.1137/0507039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
引用
收藏
页码：481 / 490
页数：10
相关论文
共 19 条
[1]   AN ABSTRACT VOLTERRA EQUATION WITH APPLICATIONS TO LINEAR VISCOELASTICITY [J].
DAFERMOS, CM .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1970, 7 (03) :554-&
[2]   HYPERBOLICITY OF EQUATIONS OF LINEAR THEORY OF HEAT-CONDUCTION FOR MATERIALS WITH MEMORY [J].
DAVIS, PL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 30 (01) :75-80
[3]   HYPERBOLIC INTEGRODIFFERENTIAL EQUATIONS [J].
DAVIS, PL .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 47 (01) :155-160
[4]   HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATIONS ARISING IN ELECTROMAGNETIC THEORY OF DIELECTRICS [J].
DAVIS, PL .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 18 (01) :170-178
[5]  
Dunford N., 1963, LINEAR OPERATORS PAR
[6]   VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACE [J].
FRIEDMAN, A ;
SHINBROT, M .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 126 (01) :131-&
[7]   MONOTONICITY OF SOLUTIONS OF VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACE [J].
FRIEDMAN, A .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 138 (APR) :129-&
[8]  
Hannsgen K. B., 1973, SIAM Journal on Mathematical Analysis, V4, P22, DOI 10.1137/0504004
[9]   A VOLTERRA EQUATION WITH COMPLETELY MONOTONIC CONVOLUTION KERNEL [J].
HANNSGEN, KB .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 31 (02) :459-&
[10]   INDIRECT ABELIAN THEOREMS AND A LINEAR VOLTERRA EQUATION [J].
HANNSGEN, KB .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 142 (AUG) :539-&
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