数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (S1): 114-119.

• 论文 • 上一篇    下一篇

THE EXISTENCE OF SOLUTIONS OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS IN BANACH SPACES

闫宝强1, 史国良2   

  1. 1. Department of Mathematics, Shandong Normal University. Jinan 250014, China;
    2. The Jinan School of Petrol Chemical economy, Jinan 250101, China
  • 收稿日期:1997-01-01 出版日期:1998-12-31 发布日期:1998-12-31

THE EXISTENCE OF SOLUTIONS OF NONLINEAR FREDHOLM INTEGRAL EQUATIONS IN BANACH SPACES

You Baoqiang1, Shi Guoliang2   

  1. 1. Department of Mathematics, Shandong Normal University. Jinan 250014, China;
    2. The Jinan School of Petrol Chemical economy, Jinan 250101, China
  • Received:1997-01-01 Online:1998-12-31 Published:1998-12-31

摘要: This paper improves Tychonov fixed point theorem and discusses the existence of solutions of nonlinear Fredholm integral equations on[0,+∞] in Banach spaces with Frechet space theory.

关键词: Fredholm equation, Kuratowski measure of noncompactness, locally equicontinuous set

Abstract: This paper improves Tychonov fixed point theorem and discusses the existence of solutions of nonlinear Fredholm integral equations on[0,+∞] in Banach spaces with Frechet space theory.

Key words: Fredholm equation, Kuratowski measure of noncompactness, locally equicontinuous set