Matrix Science Mathematic (MSMK)

UNIQUENESS OF PERIODIC SOLUTIONS OF A CERTAIN ULTRA-HYPERBOLIC BOUNDARY VALUE PROBLEM

February 10, 2026 Posted by Basem In MSMK

ABSTRACT

UNIQUENESS OF PERIODIC SOLUTIONS OF A CERTAIN ULTRA-HYPERBOLIC BOUNDARY VALUE PROBLEM

Journal: Matrix Science Mathematic (MSMK)
Author: Obasi U.E., Eze E.O.

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2026.01.07

In this paper, uniqueness of periodic solutions of a certain ultra-hyperbolic boundary value problem was investigated using energy method and superposition principle. Periodic solutions and test for periodicity were obtained using separation of variable method and Fourier series. Through the exploit of energy conservation and initial conditions, uniqueness of periodic solutions were established. Application of our results can be seen in wave propagation and vibration in complex system with periodic forcing. Numerical simulations were used to demonstrate the behavior of the solutions extending known results in literature
Pages 01-07
Year 2026
Issue 1
Volume 10

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