Department of Mathematics
Asymptotic stability of solutions to Volterra-renewal integral equations with space maps
In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples. © 2012 Elsevier Ltd.
Asymptotic behavior, Numerical methods, Renewal equation, Space map, Volterra integral equation
Source Publication Title
Journal of Mathematical Analysis and Applications
Annunziato, M., H. Brunner, and E. Messina. "Asymptotic stability of solutions to Volterra-renewal integral equations with space maps." Journal of Mathematical Analysis and Applications 395.2 (2012): 766-775.