Geodesic
Multivalued Dynamics of Solutions of Autonomous Operator Differential Equations with Pseudomonotone Nonlinearity
Matematičeskie zametki, Tome 92 (2012) no. 2, pp. 225-240

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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. 
@article{MZM_2012_92_2_a5,
     author = {P. O. Kas'yanov},
     title = {Multivalued {Dynamics} of {Solutions} of {Autonomous} {Operator} {Differential} {Equations} with {Pseudomonotone} {Nonlinearity}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {225--240},
     publisher = {mathdoc},
     volume = {92},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_2_a5/}
}
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P. O. Kas'yanov. Multivalued Dynamics of Solutions of Autonomous Operator Differential Equations with Pseudomonotone Nonlinearity. Matematičeskie zametki, Tome 92 (2012) no. 2, pp. 225-240. http://geodesic.mathdoc.fr/item/MZM_2012_92_2_a5/