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On a class of nonclassical hyperbolic equations with nonlocal conditions

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  • Abdelfatah Bouziani

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.

Suggested Citation

  • Abdelfatah Bouziani, 2002. "On a class of nonclassical hyperbolic equations with nonlocal conditions," International Journal of Stochastic Analysis, Hindawi, vol. 15, pages 1-16, January.
    • Handle: RePEc:hin:jnijsa:141476
    DOI: 10.1155/S1048953302000138
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