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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 290-299.

• 论文 • 上一篇    下一篇

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR INITIAL VALUE PROBLEMS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES

洪世煌1, 胡适耕2   

  1. 1. Hainan University, Haikou 570228, P. R. China;
    2. Department of Mathematics, Huazhong University of Scienceand Technology, Wuhan 430074, P. R. China
  • 收稿日期:1997-10-11 修回日期:1998-10-05 出版日期:1999-03-18 发布日期:1999-03-18

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR INITIAL VALUE PROBLEMS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES

Hong Shihuang1, Hu Shigeng2   

  1. 1. Hainan University, Haikou 570228, P. R. China;
    2. Department of Mathematics, Huazhong University of Scienceand Technology, Wuhan 430074, P. R. China
  • Received:1997-10-11 Revised:1998-10-05 Online:1999-03-18 Published:1999-03-18

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摘要： In this paper, the initial value problems of second order ordinary differential equations in Banach spaces are discussed. By using the monotone iterative technique, some existence and uniqueness theorems for solutions are obtained.

关键词: ordered Banach spaces, measures of noncompactness, mixed monotone operators

Abstract: In this paper, the initial value problems of second order ordinary differential equations in Banach spaces are discussed. By using the monotone iterative technique, some existence and uniqueness theorems for solutions are obtained.

Key words: ordered Banach spaces, measures of noncompactness, mixed monotone operators

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