Results 181 to 190 of about 503 (210)
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On pullback attractors in for nonautonomous reaction–diffusion equations
Nonlinear Analysis: Theory, Methods & Applications, 2010Summary: Using a recent method based on the concept of the Kuratowski measure of noncompactness of a bounded set together with some new estimates of solutions, we prove the existence of a unique minimal pullback attractor for the evolutionary process associated with a nonautonomous nonlinear reaction-diffusion system in \(H^1_0\) in which the right ...
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On the continuity of pullback attractors for evolution processes
Nonlinear Analysis: Theory, Methods & Applications, 2009The authors provide general results on continuity properties for pullback attractors of nonlinear evolution processes. They revisit earlier results due to \textit{D.\ Li} and \textit{P. E.\ Kloeden} [Stoch.\ Dyn.\ 4, No. 3, 373--384 (2004; Zbl 1059.37015)], which show that, under certain conditions, continuity is equivalent to uniformity of attraction ...
Carvalho, Alexandre N. +2 more
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Stochastic Synchronization of Random Pullback Attractors
2020In this and in the next chapter we deal with the synchronization of random dynamical systems (RDS). The concept of RDS (see Arnold [4] and the literature cited therein) covers the most important families of dynamical systems with randomness, including random and stochastic ordinary and partial differential equations and random difference equations ...
Igor Chueshov, Björn Schmalfuß
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Pullback Attractors for a Damped Semilinear Wave Equation with Delays
Acta Mathematica Sinica, English Series, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Kai Xuan, Xie, Yong Qin, Zhou, Feng
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Pullback Attractors for NonAutonomous Dynamical Systems
2013We study a nonautonomous reaction-diffusion equation with zero Dirichlet boundary condition, in an unbounded domain containing a nonautonomous forcing term taking values in the space H −1, and with a continuous nonlinearity which does not ensure uniqueness of solution. Using results of the theory of set-valued nonautonomous (pullback) dynamical systems,
María Anguiano +3 more
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Pullback attractors in nonautonomous difference equations
Journal of Difference Equations and Applications, 2000Nonautonomous difference equations are formulated as cocycles which generalize semigroups corresponding to autonomous difference equations. Pullback attractors are the appropriate generalization of autonomous attractors to cocycles. The existence of a pullback attractor follows when the difference equation cocycle has a pullback absorbing set.
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Local equi-attraction of pullback attractor sections
Journal of Mathematical Analysis and Applications, 2021Fuzhi Li, Jie Xin, Hongyong Cui
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Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains
Applied Mathematics and Mechanics (English Edition), 2010Yanren Hou
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Pullback attractor and invariant measures for the three-dimensional regularized MHD equations
Discrete and Continuous Dynamical Systems, 2018Zeqi Zhu, Caidi Zhao
exaly

