IJPAM: Volume 74, No. 2 (2012)
FIXED SETS OF EVOLUTION SYSTEMS




68-B, New Muslim Town, Lahore, PAKISTAN

Academy of Bulgarian Ministry of Internal Affairs (Police Academy)
Sofia, BULGARIA
Abstract. In this paper we study autonomous evolution inclusions in an evolution triple,
and satisfying one sided Lipschitzian condition with some negative constant.
It is known that the solution set is compact on every bounded
interval. Using this fact we prove the existence of a unique
strong forward attractor and a unique strong backward attractor
when the one sided Lipschitz constant is positive. As a corollary
some surjectivity and fixed point results are proved. An example of a
parabolic system, satisfying our assumptions is discussed.
Received: August 13, 2011
AMS Subject Classification: 34A60, 34A45, 49J24
Key Words and Phrases: evolution triple, strong attractor, evolution inclusions, one sided Lipschitz, approximations
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 74
Issue: 2