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

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: value; problem system; well posedness; value problem; boundary value; nonlocal boundary

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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