数学物理学报(英文版) ›› 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
  • 收稿日期:2011-12-12 修回日期:2013-03-20 出版日期:2013-09-20 发布日期:2013-09-20
  • 通讯作者: DEEPMALA,dmrai23@gmail.com E-mail:dmrai23@gmail.com; hkpathak05@gmail.com
  • 基金资助:

    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].

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].

摘要:

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.

关键词: Banach algebra fixed point, functional-integral equation, measure of non-compactness

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

中图分类号: 

  • 47H10