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

被引：0

作者：

S. Kharibegashvili

B. Midodashvili

机构：

[1] I. Javakhishvili Tbilisi State University,A. Razmadze Mathematical Institute

[2] Georgian Technical University,Department of Mathematics

[3] I. Javakhishvili Tbilisi State University,Faculty of Exact and Natural Sciences

[4] Gori State Teaching University,Faculty of Education, Exact and Natural Sciences

来源：

Mediterranean Journal of Mathematics | 2021年 / 18卷

关键词：

Nonlinear higher-order equations; Schaefer’s fixed point theorem; existence; uniqueness and nonexistence of solutions; Primary 35G30; Secondary 00A00;

D O I：

暂无

中图分类号：

学科分类号：

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

共 50 条

[1] On the Solvability of One Boundary Value Problem for a Class of Higher-Order Nonlinear Partial Differential Equations
Kharibegashvili, S.
Midodashvili, B.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (04)
[2] The boundary value problem for one class of higher-order nonlinear partial differential equations
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[J]. GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (03) : 387 - 395
[3] THE BOUNDARY VALUE PROBLEM FOR ONE CLASS OF HIGHER-ORDER SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS
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[J]. PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2023, 49 (01): : 154 - 171
[4] ON THE SOLVABILITY OF THE BOUNDARY VALUE PROBLEM FOR ONE CLASS OF HIGHER-ORDER NONLINEAR HYPERBOLIC SYSTEMS
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[J]. TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2024, 178 (02) : 317 - 319
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[6] Solvability of a class of boundary value problems for higher-order operator-differential equations
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[J]. DIFFERENTIAL EQUATIONS, 2009, 45 (10) : 1451 - 1459
[7] Solvability of a class of boundary value problems for higher-order operator-differential equations
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[J]. Differential Equations, 2009, 45 : 1451 - 1459
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[J]. LITHUANIAN MATHEMATICAL JOURNAL, 2022, 62 (03) : 360 - 371
[9] On the solvability of one boundary value problem for one class of higher-order semilinear hyperbolic systems
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[J]. Lithuanian Mathematical Journal, 2022, 62 : 360 - 371
[10] Solvability of a Class of Higher Order Singular Nonlinear Partial Differential Equations
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