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On solvability of the integrodifferential hyperbolic equation with purely nonlocal conditions
Journal article   Peer reviewed

On solvability of the integrodifferential hyperbolic equation with purely nonlocal conditions

Ahcene Merad, Abdelfatah Bouziani, Cenap Ozel and Adem Kiliçman
Acta mathematica scientia, Vol.35(3), pp.601-609
01/05/2015
DOI: https://doi.org/10.1016/S0252-9602(15)30006-0

Abstract

34A12 35L10 44A10 approximate solution Integro-differential hyperbolic equation nonlocal purely conditions
In this study, we prove the existence, uniqueness, and continuous dependence upon the data of solution to integro-differential hyperbolic equation with purely nonlocal (integral) conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution using a numerical technique (Stehfest algorithm) by inverting the Laplace transform.

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