FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH DILATION AND SYMMETRY

被引：2

作者：

Rossovskii, L. E. ^{[1
]}

Tovsultanov, A. A. ^{[2
]}

机构：

[1] Peoples Friendship Univ Russia, Moscow, Russia

[2] Kadyrov Chechen State Univ, Grozny, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2022年 / 63卷 / 04期

关键词：

elliptic functional-differential equation; boundary value problem; Garding-type inequality; BOUNDARY-VALUE PROBLEM;

D O I：

10.1134/S0037446622040164

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the Dirichlet problem in a bounded plane domain for a strongly elliptic functional-differential equation of the second order containing the argument transformations x bar right arrow px (p > 0) and x bar right arrow -x in higher-order derivatives. The study of solvability of the problem relies on a Garding-type inequality for which some necessary and sufficient conditions are obtained in algebraic form.

引用

页码：758 / 768

页数：11

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[3]

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[4]

[Anonymous], 1999, P ST PETERSBURG MATH