Convergence of solutions for two delays Volterra integral equations in the critical case

Abstract
In this paper, for the "critical case" with two delays, we establish two relations between any two solutions y(t) and y*(t) for the Volterra integral equation of non-convolution type y(t)=f(t)+\int_{t-\tau}^{t-\delta}k(t,s)g(y(s))ds and a solution z(t) of the first order differential equation \dot z(t)=\beta(t)[z(t-\delta)-z(t-\tau) , and offer a sufficient condition that limt->+?(y(t)-y*(t))=0.
Anno
2010
Autori IAC
Tipo pubblicazione
Altri Autori
Messina E.; Muroya Y.; Russo E.; Vecchio A.
Editore
Pergamon Press,
Rivista
Applied mathematics letters