Functional differential equations with nonlocal initial conditions. (1997)

• Record Type: Journal Article
• Authors: Aizicovici, Sergiu; Gao, Yun
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 10:Number 2(1997)
• Page Start: 145
• Page End: 156
• Publication Date: 1997
• Subjects: functional differential equation -- m-accretive operator -- nonlocal Cauchy problem; 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/S104895339700018X
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m -accretive operators and related evolution equations in Banach spaces.