Recently, there has been a growing interest in Volterra integral equations on time scales as they represent a powerful instrument for the mathematical representation of memory dependent phenomena in population dynamic, economy, etc. Here, we consider Volterra integral equations on time scales and present our study about the long-time behavior of their solutions. This study contains and extends some results of the classical stability theory for discrete and continuous Volterra equations and provides a potential tool for the stability analysis of numerical methods.
Long-time behavior of Volterra integral equations on time scales and stability of numerical methods / Messina, E.; Vecchio, A.. - (2015). (Intervento presentato al convegno SciCADE 2015 - 2015 International Conference on Scientific Computation and Differential Equations tenutosi a University of Potsdam, Potsdam, Germany nel September 14–18, 2015).
Long-time behavior of Volterra integral equations on time scales and stability of numerical methods
E. Messina;
2015
Abstract
Recently, there has been a growing interest in Volterra integral equations on time scales as they represent a powerful instrument for the mathematical representation of memory dependent phenomena in population dynamic, economy, etc. Here, we consider Volterra integral equations on time scales and present our study about the long-time behavior of their solutions. This study contains and extends some results of the classical stability theory for discrete and continuous Volterra equations and provides a potential tool for the stability analysis of numerical methods.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
