Asymptotics of solution of a boundary value problem for a singularly perturbed quasilinear one-characteristic equation

IF 0.7 Q2 MATHEMATICS

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2020-01-01 DOI:10.29228/proc.74

Mahir M. Sabzaliev · Mahbuba E. Kerimova

引用次数: 0

Abstract

. A complete asymptotics of the solution of a boundary value problem on a rectangle is constructed for one-characteristic nonclassic type differential equation of third order, degenerating into nonlinear hyperbolic equation. The remainder term is estimated.

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一类奇异摄动拟线性单特征方程边值问题解的渐近性

．对于退化为非线性双曲型方程的三阶单特征非经典型微分方程，构造了矩形上边值问题解的完全渐近性。估计剩余项。

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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来源期刊

Proceedings of the Institute of Mathematics and Mechanics MATHEMATICS-

CiteScore

1.80

自引率

27.30%

发文量

期刊介绍： Proceedings of the Institute of Mathematics and Mechanics (PIMM), National Academy of Sciences of Azerbaijan is an open access journal that publishes original, high quality research papers in all fields of mathematics. A special attention is paid to the following fields: real and complex analysis, harmonic analysis, functional analysis, approximation theory, differential equations, calculus of variations and optimal control, differential geometry, algebra, number theory, probability theory and mathematical statistics, mathematical physics. PIMM welcomes papers that establish interesting and important new results or solve significant problems. All papers are refereed for correctness and suitability for publication. The journal is published in both print and online versions.