一类非线性二维卷积型积分方程的交替有界解

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2022-03-15 DOI:10.1090/mosc/329

K. Khachatryan, A. Petrosyan

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引用次数: 4

摘要

本文研究了一类在R2\mathbb｛R｝^2上的非线性二维卷积型积分方程。这类方程在p-p-adic开闭串理论和流行病在空间和时间中传播的数学理论中都有应用。证明了一个交替有界解的存在性。在一个特殊情况下，还研究了构造解的渐近性质。最后，给出了这些方程的具体应用实例来说明结果。预算517.968.4。

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Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations

This paper is devoted to studying a class of nonlinear two-dimensional convolution-type integral equations on R 2 \mathbb {R}^2 . This class of equations has applications in the theory of p p -adic open-closed strings and in the mathematical theory of the spread of epidemics in space and time. The existence of an alternating bounded solution is proved. The asymptotic behaviour of the constructed solution is also studied in a particular case. At the end of the paper, specific applied examples of these equations are given to illustrate the results. UDK 517.968.4.

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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.