Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (172 KB) | Metadata | Table of Contents | ZAA summary
Published online: 2002-03-31
Global Existence for some Integro-Differential Equations with Delay Subject to Non-Local ConditionsS. Mazouzi and Nasser-edine Tatar (1) University Badji Mokhtar, Annaba, Algeria
(2) King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
By making use of the Leray-Schauder fixed point theorem we prove the global existence of solutions to some integro-differential equations with delay subject to non-local conditions, and this problem is considered in an arbitrary Banach space.
Keywords: Nonlocal conditions, mild solutions, semigroups, Schaefer’s fixed point theorem, integro-differential equations
Mazouzi S., Tatar Nasser-edine: Global Existence for some Integro-Differential Equations with Delay Subject to Non-Local Conditions. Z. Anal. Anwend. 21 (2002), 249-256. doi: 10.4171/ZAA/1076