Construction of Solutions in a Broad Sense of Systems of First-Order Partial Differential Equations With Periodic Conditions


Bekbauova A. Meirambekuly A.
April 2025John Wiley and Sons Ltd

Mathematical Methods in the Applied Sciences
2025#48Issue 66506 - 6511 pp.

The work considers the existence and uniqueness of a solution in the broad sense of systems of differential equations with the same principal part and periodic conditions. Characteristic vector is constructed - functions of the system under study, solutions are defined in a broad sense. A matrix corresponding to a homogeneous system was constructed. Sufficient conditions for the existence and uniqueness of the solution in the broad sense of systems of partial differential equations with periodic conditions are obtained.

characteristic functions , ordinary differential equations , partial differential equation systems , periodic solutions , solutions in the broad sense

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K. Zhubanov Aktobe Regional University, Aktobe, Kazakhstan

K. Zhubanov Aktobe Regional University

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