Well-posedness of nonlocal boundary value problem for a system of loaded hyperbolic equations and an algorithm for finding its solution. (English) Zbl 1400.35176
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.
MSC:
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
Keywords:
general solution; solvability criteria; algorithm; family of loaded ordinary differential equations; well-posednessReferences:
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