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Impulsive nonlocal nonlinear parabolic differential problems

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  • Ludwik Byszewski

Abstract

The aim of the paper is to prove a theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities. A weak maximum principle for an impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities and an uniqueness criterion for the existence of the classical solution of an impulsive nonlocal nonlinear parabolic differential problem are obtained as a consequence of the theorem about the weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities.

Suggested Citation

  • Ludwik Byszewski, 1993. "Impulsive nonlocal nonlinear parabolic differential problems," International Journal of Stochastic Analysis, Hindawi, vol. 6, pages 1-14, January.
    • Handle: RePEc:hin:jnijsa:639837
    DOI: 10.1155/S1048953393000206
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