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

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.

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2021-08, Vol.18 (4), Article 131
Main Authors: Kharibegashvili, S., Midodashvili, B.
Format: Article
Language:English
Subjects:
Boundary value problems
Existence theorems
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Partial differential equations
Uniqueness theorems
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Description
Summary: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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01752-2