热质传递理论中积分-微分方程解的性质

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2014-11-05 DOI:10.1090/S0077-1554-2014-00231-4

V. V. Vlasov, N. Rautian

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引用次数: 13

摘要

．本文在积分微分方程符号谱分析的基础上，研究了积分微分方程解的渐近性质。为此，我们得到了这些方程的强解的表示形式，即对应于作为这些方程符号的算子函数谱的实部和非实部的项的和。这些表示对于本文所考虑的一类积分-微分方程是新的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Properties of solutions of integro-differential equations arising in heat and mass transfer theory

. The aim of the present paper is to study the asymptotic behavior of solutions of integro-diﬀerential equations on the basis of spectral analysis of their symbols. To this end, we obtain representations of strong solutions of these equations in the form of a sum of terms corresponding to the real and nonreal parts of the spectrum of the operator functions that are the symbols of these equations. These representations are new for the class of integro-diﬀerential equations considered in the paper.

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来源期刊

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

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期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.