Well-posedness of nonlocal boundary value problem for a system of loaded hyperbolic equations and an algorithm for finding its solution

The article introduces a new general solution to a family of loaded ordinary differential equations and discusses its properties. It provides necessary and sufficient conditions for the well-posedness of a linear nonlocal boundary value problem for a system of loaded hyperbolic equations with mixed...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2018-05, Vol.461 (1), p.817-836
Main Author: Dzhumabaev, Dulat S.
Format: Article
Language:English
Subjects:
Algorithm
General solution
Loaded hyperbolic equations
Solvability criteria
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Summary:The article introduces a new general solution to a family of loaded ordinary differential equations and discusses its properties. It provides necessary and sufficient conditions for the well-posedness of a linear nonlocal boundary value problem for a system of loaded hyperbolic equations with mixed derivatives. Algorithms for solving the boundary value problems for loaded differential equations are proposed.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2017.12.005