Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2012
  • Volume: 31e
  • Issue: 1

Systems of nonlinear volterra integral equations

  • Author:
  • Pushpa
  • Total Page Count: 10
  • Page Number: 85 to 94

Department of Mathematics, Osmania University, Hyderabad, AP - 500 007 (India). E-mail: push1435@yahoo.in

Online published on 11 January, 2013.

Abstract

In this paper, we consider a system of nonlinear Volterra integral equations of the form and we show that if A ε Lp then its solution X(t) ε Lp and if A′ ε Lp then g(X(t)) ε Lp.

Keywords

Volterra integral and integrodifferential equations, Resolvent, Variation of parameter formula, Liapunov function