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  • Multivalued periodic Lienard systems
    Gasiński, Leszek ; Papageorgiou, Nikolaos, 1958-
    We consider a nonlinear multivalued periodic Lienard system driven by a general strictly monotone, nonhomogeneous homeomorphism which includes as a special case the vector ▫$p$▫-Laplacian. The ... reaction has also a maximal monotone map which need not be defined on all of ▫$\mathbb{R}^N$▫. We prove existence theorems for both the convex and nonconvex problems. We also show the existence of extremal trajectories, that is, solutions moving through the extremal points of the multivalued perturbation. We also show that every solution of the convexified system can be obtained as the ▫$C^1(T;\mathbb{R}^N)$▫-limit of a sequence of certain extremal trajectories. Finally as an illustration, we examine a nonlinear control system with a priori feedback.
    Source: Journal of mathematical analysis and applications. - ISSN 0022-247X (Vol. 477, iss. 1, Sep. 2019, str. 196-221)
    Type of material - article, component part ; adult, serious
    Publish date - 2019
    Language - english
    COBISS.SI-ID - 18628697

    Link(s):

    https://doi.org/10.1016/j.jmaa.2019.04.028
    DOI

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