Semilinear integro-differential equations with compact semigroups. (1998)

• Record Type: Journal Article
• Authors: Bahuguna, D.; Srivastava, S. K.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 11:Number 4(1998)
• Page Start: 507
• Page End: 517
• Publication Date: 1998
• Subjects: C0 semigroup -- compact semigroup -- mild solution; 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/S1048953398000410
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper we study the local and global existence of mild solutions to a class of integro-differential equations in an arbitrary Banach space associated with the operators generating compact semigroups on the Banach space.