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  • Anti-periodic solutions for nonlinear evolution inclusions
    Gasiński, Leszek ; Papageorgiou, Nikolaos, 1958-
    We consider an anti-periodic evolution inclusion defined on an evolution triple of spaces, driven by an operator of monotone-type and with a multivalued reaction term ▫$F(t, x)$▫. We prove existence ... theorem for the "convex" problem (that is, ▫$F$▫ is convex-valued) and for the "nonconvex" problem (that is, ▫$F$▫ is nonconvex-valued) and we also show the existence of extremal trajectories (that is, when ▫$F$▫ is replaced by ▫$\text{ext}F$▫). Finally, we prove a "strong relaxation" theorem, showing that the extremal trajectories are dense in the set of solutions of the convex problems.
    Source: Journal of evolution equations. - ISSN 1424-3199 (Vol. 18, iss. 2, June 2018, str. 1025-1047)
    Type of material - article, component part ; adult, serious
    Publish date - 2018
    Language - english
    COBISS.SI-ID - 18274649

    Link(s):

    https://doi.org/10.1007/s00028-018-0431-9
    DOI

source: Journal of evolution equations. - ISSN 1424-3199 (Vol. 18, iss. 2, June 2018, str. 1025-1047)
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