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Mixed Problem with an Integral Two-Space-Variables Condition for a Class of Hyperbolic Equations

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  • Taki-Eddine Oussaeif
  • Abdelfatah Bouziani

Abstract

This paper is devoted to the proof of the existence and uniqueness of the classical solution of mixed problems which combine Neumann condition and integral two-space-variables condition for a class of hyperbolic equations. The proof is based on a priori estimate “energy inequality” and the density of the range of the operator generated by the problem considered.

Suggested Citation

  • Taki-Eddine Oussaeif & Abdelfatah Bouziani, 2013. "Mixed Problem with an Integral Two-Space-Variables Condition for a Class of Hyperbolic Equations," International Journal of Analysis, Hindawi, vol. 2013, pages 1-8, January.
    • Handle: RePEc:hin:ijanal:957163
    DOI: 10.1155/2013/957163
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    References listed on IDEAS

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    1. Abdelfatah Bouziani, 1996. "Mixed problem with boundary integral conditions for a certain parabolic equation," International Journal of Stochastic Analysis, Hindawi, vol. 9, pages 1-8, January.
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