Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (11): 1103-1113.

• 论文 • 上一篇    下一篇

EXISTENCE OF SOLUTIONS TO DIFFERENTIAL INCLUSIONS IN BANACH SPACES

宋福民   

  1. Nanchang Institute of Aeronautical Technology, Nanchang 330034, P. R. China
  • 出版日期:1998-11-18 发布日期:1998-11-18
  • 基金资助:
    Project supported by the Natural Science Foundation of Jiangxi province in China

EXISTENCE OF SOLUTIONS TO DIFFERENTIAL INCLUSIONS IN BANACH SPACES

Song Fumin   

  1. Nanchang Institute of Aeronautical Technology, Nanchang 330034, P. R. China
  • Online:1998-11-18 Published:1998-11-18
  • Supported by:
    Project supported by the Natural Science Foundation of Jiangxi province in China

摘要: In this paper, the existence of solutions to differential inclusions is discussed in infinite dimensional Banach spaces, First, some comparability theorems for common differential inclusions are posed, relations between approximate solutions and solutions are studied. In the end, the existence theorem of solutions to differential inclusions is obtained.

关键词: Banach space, differential inclusion, set-valued mappings, existence theorem

Abstract: In this paper, the existence of solutions to differential inclusions is discussed in infinite dimensional Banach spaces, First, some comparability theorems for common differential inclusions are posed, relations between approximate solutions and solutions are studied. In the end, the existence theorem of solutions to differential inclusions is obtained.

Key words: Banach space, differential inclusion, set-valued mappings, existence theorem

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