Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (5): 1305-1313.doi: 10.1016/S0252-9602(13)60083-1

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A STUDY ON SOME PROBLEMS ON EXISTENCE OF SOLUTIONS FOR NONLINEAR FUNCTIONAL-INTEGRAL EQUATIONS

DEEPMALA*|H.K. PATHAK   

  1. School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.), 492010, India
  • Received:2011-12-12 Revised:2013-03-20 Online:2013-09-20 Published:2013-09-20
  • Contact: DEEPMALA,dmrai23@gmail.com E-mail:dmrai23@gmail.com; hkpathak05@gmail.com
  • Supported by:

    The research work of the corresponding author is supported by the Department of Science and Technology, Government of India under INSPIRE Fellowship Program No. DST/INSPIRE Fellowship/2010/[182].

Abstract:

In this paper, we prove the existence of solutions of some nonlinear functional-integral equation by using a fixed point theorem which satisfy the Darbo condition. The results extend the corresponding results of many authors. In the sequel, we give an example of our main result to highlight the realized improvements.

Key words: Banach algebra fixed point, functional-integral equation, measure of non-compactness

CLC Number: 

  • 47H10
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