Existence of solutions for second-order evolution inclusions. (1994)

• Record Type: Journal Article
• Authors: Papageorgiou, Nikolaos S.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 7:Number 4(1994)
• Page Start: 525
• Page End: 535
• Publication Date: 1994
• Subjects: evolution triple -- monotone operator -- hemicontinuous operator -- symmetric operator -- fixed point -- Sobolev space -- program -- average turnpike property -- separation 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/S1048953394000407
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper we examine second-order nonlinear evolution inclusions and prove two existence theorems; one with a convex-valued orientor field and the other with a nonconvex-valued field. An example of a hyperbolic partial differential inclusion is also presented.