Abstract
This article considers a nonlinear autonomous differential-operator inclusion with a pseudomonotone dependence between determinative problem parameters. The dynamics of all weak solutions defined on the positive semi-axis of time is studied. The existence of trajectory and global attractors is proved and their structure is investigated. A class of high-order nonlinear parabolic equations is considered to be a possible application.
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 150–163, September–October 2011.
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Kasyanov, P.O. Multivalued dynamics of solutions of an autonomous differential-operator inclusion with pseudomonotone nonlinearity. Cybern Syst Anal 47, 800–811 (2011). https://doi.org/10.1007/s10559-011-9359-6
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DOI: https://doi.org/10.1007/s10559-011-9359-6