摘要
在Ｂａｎａｃｈ空间中研究与时间有关的抛物型发展微分包含，这一问题与非线性分布参数控制系统的研究密切相关·我们证明了ｍｉｌｄ＿解的存在性，同时研究了解集的拓扑性质·本文的研究发展和推广Ｊ．Ｐ．Ａｕｂｉｎ等人的方向和结果·
In this paper, parabolic type differential inclusions with time dependenoe are discussed 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 property of the solution set is given. The directions and the results by J.P.Aubin et al are generalized and improved.
出处
《应用数学和力学》
CSCD
北大核心
1999年第3期314-318,共5页
Applied Mathematics and Mechanics
关键词
发展算子
微分包含
解集
抛物型微分包含
evolution operator
set_valued map
differential inclusion
mild_solution
fixed_point theorem
