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Invariant Systems with Dissipative Operators

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Abstract

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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Authors and Affiliations

  1. LMPA Laboratory, Department of Mathematics, Jijel University, Jijel, Algeria

    Moufida Amiour & Mustapha Fateh Yarou

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  1. Moufida Amiour
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  2. Mustapha Fateh Yarou
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Correspondence to Mustapha Fateh Yarou.

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Amiour, M., Yarou, M.F. Invariant Systems with Dissipative Operators. Bull. Iran. Math. Soc. 44, 643–657 (2018). https://doi.org/10.1007/s41980-018-0041-x

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  • DOI: https://doi.org/10.1007/s41980-018-0041-x

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