VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
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  • On the existence of solutions for nonlinear parabolic problems with nonmonotone discontinuities
    Papageorgiou, Nikolaos, 1958-
    In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution ▫$\varphi$▫ and a lower solution ▫$\psi$▫ such ... that ▫$\psi \le \varphi$▫. Using results from the theory of pseudomonotone operators and from the theory of multivalued analysis together with truncation and penalization techniques, we show that there exists at least one solution ▫$x(t, z)$▫ such that ▫$\psi(t, z) \le x(t, z) \le \varphi(t, z)$▫ a.e. on ▫$T\times Z$▫.
    Vir: Journal of mathematical analysis and applications. - ISSN 0022-247X (Vol. 205, iss. 2, 1997, str. 434-453)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 1997
    Jezik - angleški
    COBISS.SI-ID - 18119257

    Povezava(-e):

    http://dx.doi.org/10.1006/jmaa.1997.5208
    DOI

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