A convolution test equation for double delay integral equations

Abstract
In this paper we consider Volterra integralequations with two constant delays y(t)=1+\int_{t-\tau_2}^{t-\tau_1}(\lambda+\mu(t-s))y(s)ds,\;t\in[\tau_2,T], and we carry out the stability analysis of direct quadrature methods with respect to the linear convolutiontestequation View the MathML source We investigate the analytical behavior of the solution of the testequation and derive the qualitative and quantitative properties of the numerical solution. The numerical experiments show that the stability conditions obtained represent sufficient conditions for the stability of the numerical method applied to a more general equation.
Anno
2009
Autori IAC
Tipo pubblicazione
Altri Autori
Messina E.; Russo E.; Vecchio A.
Editore
Koninklijke Vlaamse Ingenieursvereniging
Rivista
Journal of computational and applied mathematics