On the oscillation of some impulsive parabolic equations with several delays

R. Atmania and S. Mazouzi

Address: LMA Lab, Department of Mathematics, University Badji Mokhtar Annaba, P.O.Box 12, Annaba 23000, Algeria.


Abstract: In this paper, several oscillation criteria are established for some nonlinear impulsive functional parabolic equations with several delays subject to boundary conditions. We shall mainly use the divergence theorem and some corresponding impulsive delayed differential inequalities.

AMSclassification: primary 35B05; secondary 35K61, 35R12.

Keywords: impulsive condition, delayed parabolic equation, oscillation, divergence theorem, impulsive differential inequality.