On a class of nonclassical hyperbolic equations with nonlocal conditions

Abdelfatah Bouziani

International Journal of Stochastic Analysis, 2002, vol. 15, 1-16

Abstract:

This paper proves the existence, uniqueness and continuous dependence of a solution of a class of nonclassical hyperbolic equations with nonlocal boundary and initial conditions. Results are obtained by using a functional analysis method based on an a priori estimate and on the density of the range of the linear operator corresponding to the abstract formulation of the considered problem.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:141476

DOI: 10.1155/S1048953302000138

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