Communications in Mathematical Analysis
  • Year: 2006
  • Volume: 1
  • Issue: 1

Smooth Dependence by LAG of the Solution of a Delay Integro-Differential Equation from Biomathematics

  • Author:
  • Alexandru Mihai Bica, Sorin Muresan
  • Total Page Count: 11
  • Page Number: 64 to 74

Department of Mathematics, University of Oradea, Str. Armatei Romane No. 5, Oradea 410087, Romania.

*E-mail: abica@uoradea.ro

(Communicated by John M. Rassias)

Abstract

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.

Keywords

neutral delay integrodifferential equation, Perov's fixed point theorem, Picard operators, successive approximations sequence, smooth dependence