On solvability of the integrodifferential hyperbolic equation with purely nonlocal conditions
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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Science Direct
Abstract
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.
Description
Keywords
Integro-differential hyperbolic equation, Approximate solution, Nonlocal purely