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
收藏
页码：139 / 143
页数：5
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