THE CONTROL OF THE BLOWING-UP TIME FOR THE SOLUTION OF THE SEMILINEAR PARABOLIC EQUATION WITH IMPULSIVE EFFECT

  • Bainov, Drumi-D ;
  • Dimitar A.Kolev ;
  • Kiyokaza Nakagawa
  • Published : 2000.09.01

Abstract

An impulsive semilinear parabolic equation subject to Robin boundary condition is considered. We prove that for certain classes of impulsive sources and continuous initial data, the solutions of the problem under consideration blow up in the desired time interval.

Keywords

blow-up solution;impulsive equation;comparison principle

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