International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 5, Pages 251-256
doi:10.1155/S0161171202012887
Impulsive functional-differential equations with nonlocal conditions
Haydar Akça1
, Abdelkader Boucherif1
and Valéry Covachev3
1Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
3Institute of Mathematics, Bulgarian Academy of Sciences, Sofia 1113, Bulgaria
Abstract
The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.