Invariant Systems with Dissipative Operators

被引:0
作者
Moufida Amiour
Mustapha Fateh Yarou
机构
[1] Jijel University,LMPA Laboratory, Department of Mathematics
来源
Bulletin of the Iranian Mathematical Society | 2018年 / 44卷
关键词
Dissipative set-valued maps; Differential inclusion; Weak and strong invariant system; Approximate trajectories; Lower and upper Hamiltonian; Primary 34A60; Secondary 49J52;
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摘要
This paper is devoted to the study of the strong and weak invariance property of a system (S, F), where S is a closed subset of a Hilbert space H, and F an autonomous set-valued mapping defined on H; under a dissipative condition. We give a characterization of “approximate” strongly and weakly invariant systems in H and state the equivalence between week and strong invariance in finite dimensional setting.
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页码:643 / 657
页数:14
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