IJPAM: Volume 90, No. 2 (2014)
EXISTENCE OF SOLUTIONS FOR IMPULSIVE
QUASILINEAR MIXED VOLTERRA-FREDHOLM
TYPE INTEGRODIFFERENTIAL EQUATIONS
QUASILINEAR MIXED VOLTERRA-FREDHOLM
TYPE INTEGRODIFFERENTIAL EQUATIONS
F. Paul Samuel
, K. Balachandran
, T. Gunasekar
Department of Mathematics and Physics
University of Eastern Africa
Baraton, Eldoret, 2500-30100, KENYA
Department of Mathematics
Bharathiar University
Coimbatore, 641 046, INDIA
Department of Mathematics
Karunya University
Coimbatore, 641 114, INDIA
School of Advanced Sciences
Fluid Dynamics Division
VIT University
Vellore, 632 014, INDIA
, K. Balachandran, T. Gunasekar
Department of Mathematics and Physics
University of Eastern Africa
Baraton, Eldoret, 2500-30100, KENYA
Department of Mathematics
Bharathiar University
Coimbatore, 641 046, INDIA
Department of Mathematics
Karunya University
Coimbatore, 641 114, INDIA
School of Advanced Sciences
Fluid Dynamics Division
VIT University
Vellore, 632 014, INDIA
Abstract. The paper deals with the study of existence of solutions of
quasilinear mixed volterra-Fredholm-type integrodifferential equations with nonlocal
and impulsive conditions in Banach spaces. The results are obtained
by using a fixed point technique and semigroup theory.
Received: October 1, 2013
AMS Subject Classification: 34A37, 34G60, 34G20
Key Words and Phrases: semigroup, mild solution, impulsive conditions, evolution equation, fixed point
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DOI: 10.12732/ijpam.v90i2.9 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: 2014
Volume: 90
Issue: 2
