Department of Mathematics, Osmania University, Hyderabad, AP - 500 007 (India). E-mail: push1435@yahoo.in
Online published on 11 January, 2013.
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.
Volterra integral and integrodifferential equations, Resolvent, Variation of parameter formula, Liapunov function