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Matematicheskie Zametki, 2012, Volume 92, Issue 2, Pages 225–240
DOI: https://doi.org/10.4213/mzm8842 (Mi mzm8842) 		 
This article is cited in 31 scientific papers (total in 31 papers)

Multivalued Dynamics of Solutions of Autonomous Operator Differential Equations with Pseudomonotone Nonlinearity

P. O. Kas'yanov

National Technical University of Ukraine "Kiev Polytechnic Institute"
Full-text PDF (595 kB) Citations (31)
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DOI: https://doi.org/10.4213/mzm8842
Abstract: We consider nonlinear autonomous operator differential equations with pseudomonotone dependence between the defining parameters of the problem and study the dynamics of all weak solutions on the positive time semiaxis. We prove the existence of a trajectory and a global attractor and study their structure. As a possible application, we consider the class of high-order nonlinear parabolic equations.
Keywords: nonlinear operator differential equation, pseudomonotone nonlinearity, trajectory attractor, global attractor, dynamic semigroup, high-order nonlinear parabolic equation.
Received: 18.06.2010
Revised: 12.07.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 2, Pages 205–218
DOI: https://doi.org/10.1134/S0001434612070231
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: P. O. Kas'yanov, “Multivalued Dynamics of Solutions of Autonomous Operator Differential Equations with Pseudomonotone Nonlinearity”, Mat. Zametki, 92:2 (2012), 225–240; Math. Notes, 92:2 (2012), 205–218
Citation in format AMSBIB
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    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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