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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 328-331.

• 论文 • 上一篇    下一篇

EXISTENCE OF SOLUTIONS FOR PARABOLIC TYPE EVOLUTION DIFFERENTIAL INCLUSIONS AND THE PROPERTY OF THE SOLUTION SET

王志华   

  1. Department of Business and Economy, Shandong Electrical Power College, Jinan 250002, P. R. China
  • 收稿日期:1997-11-22 修回日期:1998-12-05 出版日期:1999-03-18 发布日期:1999-03-18

EXISTENCE OF SOLUTIONS FOR PARABOLIC TYPE EVOLUTION DIFFERENTIAL INCLUSIONS AND THE PROPERTY OF THE SOLUTION SET

Wang Zhihua   

  1. Department of Business and Economy, Shandong Electrical Power College, Jinan 250002, P. R. China
  • Received:1997-11-22 Revised:1998-12-05 Online:1999-03-18 Published:1999-03-18

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摘要： In this paper, parabolic ape differential inclusions with time dependent are considered and this problem is related to the study of the nonlinear distributed parameter control systems. An existence theorem of mild-solutions is proved, and a propety of the solution set is given. The directions and the results by J. P. Aubin et al. are generalized and improved.

关键词: evolution operator, set-valued map, differential inclusion, mildsolution, fixed-point theorem

Abstract: In this paper, parabolic ape differential inclusions with time dependent are considered and this problem is related to the study of the nonlinear distributed parameter control systems. An existence theorem of mild-solutions is proved, and a propety of the solution set is given. The directions and the results by J. P. Aubin et al. are generalized and improved.

Key words: evolution operator, set-valued map, differential inclusion, mildsolution, fixed-point theorem

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