On the solvability of nonlinear partial differential equations of a high order with deviating argument in lowest terms

被引：1
作者：
Bzheumikhova O.I. [1 ]
Lesev V.N. [1 ]
机构：
[1] Kabardino-Balkarian State University, ul. Chernyshevskogo 173, Nalchik
来源：
Russian Mathematics | 2016年 / 60卷 / 7期
关键词：
boundary-value problem; deviating argument; Fourier method; method of asymptotic expansions; partial differential equation;
D O I：
10.3103/S1066369X16070021
中图分类号：
学科分类号：
摘要：
We prove the solvability of a high order partial differential equation with discrete deviation of the argument in lowest terms. The proof is carried out by the method of separation of variables. We also study the boundary-value problemfor a particular case which corresponds to a fourth-order nonlinear equation. © 2016, Allerton Press, Inc.
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页码：7 / 13
页数：6
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