On solvability of the integrodifferential hyperbolic equation with purely nonlocal conditions
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Date
2015
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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.
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Keywords
Integro-differential hyperbolic equation, approximate solution, nonlocal purely conditions