Solution of a Semi-Boundary Value Problem for a Degenerate Partial Differential Equation

We study the solvability of a semi-boundary value problem in a Banach space for a partial differential equation with noninvertible operator coefficients. Owing to the regularity of the operator pencil, the equation splits into two equations in subspaces. Conditions for the solvability of the problem...

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Bibliographic Details
Published in:Differential equations 2022-09, Vol.58 (9), p.1182-1194
Main Authors: Zubova, S. P., Raetskaya, E. V.
Format: Article
Language:English
Subjects:
Banach spaces
Boundary value problems
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
Subspaces
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Summary:We study the solvability of a semi-boundary value problem in a Banach space for a partial differential equation with noninvertible operator coefficients. Owing to the regularity of the operator pencil, the equation splits into two equations in subspaces. Conditions for the solvability of the problems posed for these equations are revealed, and solutions are constructed.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266122090038