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RESEARCH PRODUCT

Asymptotic stability of solutions to Volterra-renewal integral equations with space maps

Hermann BrunnerE. MessinaM. Annunziato

subject

Asymptotic analysisApplied MathematicsNumerical analysisMathematical analysisvolterra renewalSpace mapVolterra integral equationMethod of matched asymptotic expansionsIntegral equationVolterra integral equationAsymptotic behaviorsymbols.namesakeExponential stabilityRenewal equationAsymptotologysymbolsNyström methodNumerical methodsAnalysisMathematics

description

Abstract 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.

yearjournalcountryeditionlanguage
2012-11-01Journal of Mathematical Analysis and Applications
10.1016/j.jmaa.2012.05.080http://dx.doi.org/10.1016/j.jmaa.2012.05.080