Hyers-Ulam-Rassias Stability of the Inhomogeneous Wave Equation

Prof. Maher Nazmi Qarawani

Abstract



In this paper, we apply the Duhamel’s Principle to prove the Hyers-Ulam-Rassias stability for one-dimensional inhomogeneous wave equation on an infinite homogeneous string with zero initial conditions. We have also established the Hyers-Ulam-Rassias stability of nonzero initial value problem of the inhomogeneous wave equation for an infinite string. Some illustrative examples are given.

 

DOI: 10.33977/2106-000-003-001


Keywords


Hyers-Ulam-Rassias Sability, Wave Equation, Duhamel’s Principle

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