Impulsive nonlocal nonlinear parabolic differential problems. (1993)

• Record Type: Journal Article
• Authors: Byszewski Byszewski, Ludwik Ludwik
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 6:Number 3(1993)
• Page Start: 247
• Page End: 260
• Publication Date: 1993
• Subjects: impulsive parabolic problems -- nonlocal conditions -- arbitrary parabolic sets -- differential inequalities -- uniqueness criterion; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953393000206
• Languages: English
• ISSNs: 1048-9533

Abstract

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.