ON EXISTENCE AND UNIQUENESS THEOREMS FOR ABSTRACT MEASURE INTEGRODIFFERENTIAL EQUATIONS
By
Bapurao C. Dhage1 and P. Ram Mohan Reddy2
1"Kasubai", Gurukul Colony, Thodga Road, Ahmedpur - 413515, Dist. Latur, Maharashtra, India
Email:bcdhage@gmail.com
2Department of Mathematics, Government Degree College, Dharpally-503 165, Distr. Nizamabad, Telengana State, India
Email:rammohan09reddy@gmail.com
(Received : November 02, 2019 ; Revised: November 11, 2019)
Abstract
In this paper, we prove the relevance, existence and uniqueness theorems for a nonlinear abstract measure integrodifferential equation via classical .fixed point theorems of Schauder [14] and Dhage [10] under weaker Carathéodory condition. Our hypotheses and claims have also been illustrated with a couple of examples.
2010 Mathematics Subject Classification: 34K10, 47H10
Keywords and phrases: Abstract measure integrodifferential equation; Existence and uniqueness theorem