抛物型发展微分包含的解与解集的性质

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Existence of Solutions for Parabolic Type Evolution Differential Inclusions and the Property of the Solution Set

Department of Business & Economy, Shangdong Electrical Power College, Jinan 250002, P. R. China

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.
- 发展算子 /
- 集值映象 /
- 微分包含 /
- mild-解 /
- 不动点定理
Abstract: 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.
- evolution operator /
- set-valued map /
- differential inclusion /
- mild-solution /
- fixed-point theorem

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