Existence and uniqueness of solutions of a semilinear functional-differential evolution nonlocal Cauchy problem. (2000)

• Record Type: Journal Article
• Authors: Kolodziej, Katarzyna
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 13:Number 2(2000)
• Page Start: 171
• Page End: 179
• Publication Date: 2000
• Subjects: abstract Cauchy problem -- evolution equation -- functional-differential equation -- nonlocal condition -- existence and uniqueness of the solutions -- mild and classical solutions -- Banach contraction theorem; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953300000186
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : Two theorems about the existence and uniqueness of mild and classical solutions of a semilinear functional-differential evolution nonlocal Cauchy problem in a general Banach space are proved. Methods of semigroups and the Banach contraction theorem are applied.