Representation of Solutions of Integro-Differential Equations with Kernels Depending on the Parameter

被引：1

作者：

Ortiz, R. Perez ^{[1
]}

Rautian, N. A. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119992, Russia

来源：

DIFFERENTIAL EQUATIONS | 2017年 / 53卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S0012266117010141

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Integro-differential equations with unbounded operator coefficients in a separable Hilbert space are studied. These equations are an abstract form of the Gurtin-Pipkin-type equation, which describes finite-speed propagation of heat in media with memory. A representation of strong solutions of these equations is derived in the form of the sums of series in exponents that correspond to the spectral points of operator-functions that are the symbols of these equations.

引用

页码：139 / 143

页数：5