Department of Mathematics, University of Oradea, Str. Armatei Romane No. 5, Oradea 410087, Romania.
*E-mail: abica@uoradea.ro
(Communicated by John M. Rassias)
Using the Perov's fixed point theorem and the theorem of fiber generalized contractions, we obtain the smooth dependence by lag of the positive periodic solution of a neutral delay integrodifferential equation which arise in epidemiology. The smooth dependence is obtained also for the derivative of the solution.
neutral delay integrodifferential equation, Perov's fixed point theorem, Picard operators, successive approximations sequence, smooth dependence