Results 21 to 30 of about 6,539 (268)

Dynamic of the nonclassical diffusion equation with memory

Boundary Value Problems, 2023
In this paper, we consider the nonclassical diffusion equation with memory and the nonlinearity of the polynomial growth condition of arbitrary order in the time-dependent space.
Jing Wang, Qiaozhen Ma, Wenxue Zhou, Xiaobin Yao   +3 more
doaj   +1 more source

On finite-dimensional global attractors of homeomorphisms [PDF]

Bulletin of the London Mathematical Society, 2016
Let E be a normed linear space and suppose that A is the global attractor of either (i) a homeomorphism F : E → E or (ii) a semigroup S(·) on E that is injective on A. In both cases, A has trivial shape, and the dynamics on A can be described by a homeomorphism F: A → A (in the second case we set F = S(t) for some t > 0).
Robinson, James C., Sánchez-Gabites, Jaime J.   +1 more
openaire   +3 more sources

Stability of limit regimes in general reaction-diffusion type systems

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян, Т. В. Юсипів   +1 more
doaj   +1 more source

Global attractor in competitive Lotka–Volterra systems [PDF]

Mathematische Nachrichten, 2009
AbstractFor autonomous Lotka–Volterra systems of differential equations modelling the dynamics of n competing species, new criteria are established for the existence of a single point global attractor. Under the conditions of these criteria, some of the species will survive and stabilise at a steady state whereas the others, if any, will die out ...
openaire   +3 more sources

Attractors for a class of doubly nonlinear parabolic systems

Electronic Journal of Qualitative Theory of Differential Equations, 2006
In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2 ...
Hamid El Ouardi, Abderrahmane El Hachimi
doaj   +1 more source

Global attractors for multivalued random dynamical systems [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2002
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour of some multivalued stochastic parabolic equations by generalizing the concept of global random attractor to the case of a MRDS.
Caraballo Garrido, Tomás, Langa Rosado, José Antonio, Valero Cuadra, José   +2 more
openaire   +3 more sources

Global attractors for semigroup actions

Journal of Mathematical Analysis and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Souza, Josiney A., Raminelli, Stephanie A.   +1 more
openaire   +2 more sources

On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term

Discrete Dynamics in Nature and Society, 2015
We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0,  in  Rn×R+;  u(x,0)=u0(x),  in  Rn.
Jin Zhang, Chengkui Zhong
doaj   +1 more source

Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing

FEBS Letters, EarlyView.
Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source