IJPAM: Volume 85, No. 5 (2013)
EXISTENCE OF SOLUTIONS FOR IMPULSIVE
PARTIAL NEUTRAL FUNCTIONAL EVOLUTION
INTEGRODIFFERENTIAL INCLUSIONS
WITH INFINITE DELAY
PARTIAL NEUTRAL FUNCTIONAL EVOLUTION
INTEGRODIFFERENTIAL INCLUSIONS
WITH INFINITE DELAY
T. Gunasekar1, F. Paul Samuel2, M. Mallika Arjunan3
1Department of Mathematics
Karunya University
Coimbatore, 641 114, Tamil Nadu, INDIA
1School of Advanced Sciences
Fluid Dynamics Division
VIT University
Vellore, 632 014, Tamil Nadu, INDIA
2Department of Mathematics and Physics
University of Eastern Africa, Baraton
Eldoret 2500, 30100, KENYA
3Department of Mathematics
C.B.M. College
Kovaipudur, Coimbatore, 641 114, Tamil Nadu, INDIA
1Department of Mathematics
Karunya University
Coimbatore, 641 114, Tamil Nadu, INDIA
1School of Advanced Sciences
Fluid Dynamics Division
VIT University
Vellore, 632 014, Tamil Nadu, INDIA
2Department of Mathematics and Physics
University of Eastern Africa, Baraton
Eldoret 2500, 30100, KENYA
3Department of Mathematics
C.B.M. College
Kovaipudur, Coimbatore, 641 114, Tamil Nadu, INDIA
Abstract. This paper investigates a class of impulsive partial neutral functional integrodifferential evolution inclusions with infinite delay in Banach spaces. The existence of mild solutions of these inclusions is determined under the mixed Lipschitz and Caratheodory conditions by using another nonlinear alternative of Leray-Schauder type for multivalued maps due to D. O'Regan.
At the end, one example is presented.
Received: May 16, 2013
AMS Subject Classification: 34A60, 34A37, 34G25, 34B15
Key Words and Phrases: impulsive partial neutral integrodifferential inclusions, mild solution, infinite delay, evolution systems
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DOI: 10.12732/ijpam.v85i5.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 5
