On the Solvability of One Boundary Value Problem for a Class of Higher-Order Nonlinear Partial Differential Equations

被引：2

作者：

Kharibegashvili, S. ^{[1
,2
]}

Midodashvili, B. ^{[3
,4
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili Str, GE-0177 Tbilisi, Georgia

[2] Georgian Tech Univ, Dept Math, 77 M Kostava Str, GE-0175 Tbilisi, Georgia

[3] I Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, 13 Univ Str, GE-0143 Tbilisi, Georgia

[4] Gori State Teaching Univ, Fac Educ Exact & Nat Sci, 5 I Chavchavadze Str, Gori, Georgia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 04期

关键词：

Nonlinear higher-order equations; Schaefer's fixed point theorem; existence; uniqueness and nonexistence of solutions; Primary; 35G30; Secondary; 00A00; GLOBAL-SOLUTIONS; NONEXISTENCE; EXISTENCE;

D O I：

10.1007/s00009-021-01752-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundary value problem for a class of higher-order nonlinear partial differential equations is considered. The theorems on existence, uniqueness and nonexistence of solutions of this problem are proved.

引用

页数：18

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