On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces. (1st April 2012)

• Record Type: Journal Article
• Authors: Dinh Ke, Tran; Obukhovskii, Valeri; Wong, Ngai-Ching; Yao, Jen-Chih
• Other Names: Zizovic Malisa R. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-04-01
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/137576
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved. Under some additional assumptions, we study the topological structure of the solution set.