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Artículo
Pullback attractor for a non-linear evolution equation in elasticity
(2014)
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory. The existence of several families of bounded absorbing ...
Artículo
Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay
(International Press, 2017)
We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of global solution is obtained by classical Galerkin approximation and the energy method. Actually, we also ...
Artículo
Dynamics of a class of ODEs via wavelets
(American Institute of Mathematical Sciences, 2017-11)
The objective of this paper is to study a perturbed linear hyperbolic differential equation. The first part of this work is dedicated to study perturbation of the equilibrium (special solution) of a perturbed hyperbolic system. ...
Artículo
Non-autonomous dynamics of a semi-Kolmogorov population model with periodic forcing
(Elsevier, 2016-10)
In this paper we study a semi-Kolmogorov type of population model, arising from a predator-prey system with indirect effects. In particular we are interested in investigating the population dynamics when the indirect ...
Artículo
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic
(American Institute of Mathematical Sciences, 2017-07)
We show existence and uniqueness of solutions for a non-classical and non-autonomous diffusion equation with infinite delay terms, analyzing the asymptotic behaviour in the pullback sense and obtaining global exponential decay ...
Artículo
Artículo
Attractors for non-autonomous retarded lattice dynamical systems
(De Gruyter Open, 2015)
In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence ...
Artículo
Pullback, forward and chaotic dynamics in 1-D non-autonomous linear-dissipative equations
(IOP Publishing, 2017-01)
The global attractor of a skew product semiflow for a non-autonomous differential equation describes the asymptotic behaviour of the model. This attractor is usually characterized as the union, for all the parameters in ...
Artículo
Pullback attractors for reaction-diffusion equations in some unbounded domains with an H-1 -valued non-autonomous forcing term and without uniqueness of solutions
(2010)
The existence of a pullback attractor for a reaction-diffusion equations in an unbounded domain containing a non-autonomous forcing term taking values in the space H−1, and with a continuous nonlinearity which does not ...
Artículo
Structure of the pullback attractor for a non-autonomous scalar differential inclusion
(American Institute of Mathematical Sciences, 2016-08)
The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. ...