Solvability of a Nonlocal Boundary Value Problem for One Class of Loaded Partial Differential Equations

Abdikalikova G.A.
October 2024 Pleiades Publishing

Lobachevskii Journal of Mathematics
2024 #45 Issue 10 4815 - 4827 pp.

Abstract: A linear nonlocal boundary value problem for a loaded second-order partial differential equation are considered. Using the method of introducing new unknown functions, this problem is reduced to a nonlocal problem for a system of loaded first-order hyperbolic equations with the same main part according to Courant. An algorithm for solving a nonlocal boundary value problem is proposed. Conditions for the existence and uniqueness of a solution in the wide extent of a nonlocal boundary value problem for loaded second-order partial differential equations are established.

algorithm , characteristic , in the wide extent , loaded equation , reducibility , solvability

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Zhubanov Aktobe Regional University, Aktobe, Kazakhstan

Zhubanov Aktobe Regional University

10 лет помогаем публиковать статьи Международный издатель

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