Nasser-Eddine TATAR, Institut de Mathematiques, Universite Badji Mokhtar, B.P.12, El-Hadjar, 23000 Annaba, ALGERIE
Abstract. We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.
AMSclassification. 34D05, 35B35, 35K55
Keywords. Semilinear parabolic equation, functional differential equation, integrodifferential equation, integral equation fractional evolution equation, global existence,\linebreak stability, variation of parameters