In this paper we study the existence, stability and smoothness of bounded solutions for an impulsive semilinear system of parabolic equations with homogeneous Dirichlet boundary condition. Using Banch fixed point theorem, we prove the existence of bounded solutions assuming that the nonlinear terms satisfy a Lipschitz condition, after that, we study the stability and the smoothness of such solutions.
Impulsive semilinear system of parabolic equations Bounded solutions Stability, smoothness
Mathematics Subject Classification
Primary 34K30 34k35 35R10 Secondary 93B05 93C10
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I want to thank the referees for their comments which helped to improve the presentation of this paper.
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