Results 11 to 20 of about 5,259,770 (378)
Pullback attractor for a nonlocal discrete nonlinear Schrödinger equation with delays
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlocal discrete nonlinear Schrödinger equation with delays. We prove that the process associated with the non-autonomous model possesses a pullback attractor.
Jardel Pereira
doaj +1 more source
Journal of Optimization, Differential Equations and Their Applications, 2023 The paper investigates the issue of stability with respect to external disturbances for the global attractor of the wave equation under conditions that do not ensure the uniqueness of the solution to the initial problem.
Oleksiy V. Kapustyan +3 more
doaj +1 more source
Compact global attractors of discrete inclusions [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2006 The aim of this paper is the study of the existence of compact global attractors of discrete inclusions and control systems. More precisely, on the metric space \(W\), the authors consider a discrete inclusion \(u_{t+1}\in F(u_t)\), associated with \({\mathfrak M}:= \{f_j,j\in J\}\), where \(F(u)= \{f(u)\mid f\in{\mathfrak M}\}\) for all \(u\in W ...
D. CHEBAN, MAMMANA, Cristiana
openaire +2 more sources
Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent [PDF]
, 2011 In this paper the long time behaviour of the solutions of 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H_{0}^{1}(\Omega)\times L_{2}(\Omega) and then it is proved ...
A. Kh. Khanmamedov +22 more
core +1 more source
, 2020 The second chapter of this book is dedicated to the study of different kinds of dissipativity for dynamical systems (both autonomous and nonautonomous): point, compact, local, bounded, and weak. Criteria for point, compact, and local dissipativity are given.
Ceban, D.N., Cheban, D.N.
openaire +3 more sources
Asymptotic Dynamics of a New Mechanochemical Model in Biological Patterns
Mathematical Modelling and Analysis, 2017 In this paper, we prove the existence of attractor for a new mechanochemical model with Neumann boundary conditions on a bounded domain of space dimension n ≤ 3.
Aibo Liu, Changchun Liu
doaj +1 more source
Sharp estimates for the global attractor of scalar reaction-diffusion equations with a Wentzell boundary condition [PDF]
, 2011 In this paper, we derive optimal upper and lower bounds on the dimension of the attractor AW for scalar reaction-diffusion equations with a Wentzell (dynamic) boundary condition.
Gal, Ciprian G.
core +1 more source
Global attractor and Lyapunov function for one-dimensional Deneubourg chemotaxis system
Hiroshima Mathematical Journal, 2019 A bstract . We study the global-in-time existence and the asymptotic behavior of solutions to a one-dimensional chemotaxis system presented by Deneubourg (Insectes Sociaux 24 (1977)).
Kanako Noda, Koichi Osaki
semanticscholar +1 more source
Climate Dynamics, 2018 Quantifying the predictability limits of chaotic systems and their forecast models is an important issue with both theoretical and practical significance.
Jianping Li, Jie Feng, R. Ding
semanticscholar +1 more source
AIMS Mathematics, 2023 Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence and
Grace Noveli Belvy Louvila +3 more
doaj +1 more source