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

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

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. 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. 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

摘要/Abstract

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

洪世煌;胡适耕. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR INITIAL VALUE PROBLEMS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(3): 290-299.

Hong Shihuang;Hu Shigeng. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR INITIAL VALUE PROBLEMS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(3): 290-299.

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

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

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