Differential Equations and Dynamical Systems

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Synchronization of Stochastic Fuzzy Cellular Neural Networks with Leakage Delay Based on Adaptive Control
Differential Equations and Dynamical Systems - Tập 22 - Trang 319-332 - 2013
Qintao Gan, Yuzhong Yang, Shengli Fan, Yanwei Wang
This paper considers the synchronization problem of coupled chaotic fuzzy cellular neural networks with stochastic noise perturbation and time delay in the leakage term by using adaptive feedback control. Motivated by the achievements from both the stability of neural networks with time delay in the leakage term and the synchronization of coupled chaotic fuzzy cellular neural networks with stochas...... hiện toàn bộ
Oscillation of third order nonlinear functional dynamic equations on time scales
Differential Equations and Dynamical Systems - Tập 18 - Trang 199-227 - 2010
Lynn Erbe, Taher S. Hassan, Allan Peterson
It is the purpose of this paper to give oscillation criteria for the third order nonlinear functional dynamic equation $$ \left( {a\left( t \right)\left[ {\left( {r\left( t \right)x^\Delta \left( t \right)} \right)^\Delta } \right]^\gamma } \right)^\Delta + f\left( {t,x\left( {g\left( t \right)} \right)} \right) = 0...... hiện toàn bộ
Linearized Stability for a New Class of Neutral Equations with State-Dependent Delay
Differential Equations and Dynamical Systems - Tập 24 - Trang 63-79 - 2014
M. V. Barbarossa, H. -O. Walther
For neutral delay differential equations of the form $$\begin{aligned} \dot{x}(t)=g(\partial x_t,x_t), \end{aligned}$$ with $$g$$ ...... hiện toàn bộ
Infinitely Many Solutions for a Nonlinear Elliptic PDE with Multiple Hardy–Sobolev Critical Exponents
Differential Equations and Dynamical Systems - - Trang 1-21 - 2023
Khalid Bouabid, Rachid Echarghaoui
In this paper, by an approximating argument, we obtain two disjoint and infinite sets of solutions for the following elliptic equation with multiple Hardy–Sobolev critical exponents $$\begin{aligned} \left\{ \begin{array}{ll} -\Delta u=\mu \vert u \vert ^{2^{*}-2} u + \sum _{i=1}^{l} \frac{ \vert u \vert ^{2^{*}(s_{i})-2}u}{ \vert x \ve...... hiện toàn bộ
Pullback Attractors for a Nonlocal Nonautonomous Evolution Model in $$\mathbb {R}^N$$
Differential Equations and Dynamical Systems - Tập 28 Số 1 - Trang 87-105 - 2020
Bezerra, Flank D. M., Pereira, Miriam da S., da Silva, Severino H.
In this work we consider the nonlocal evolution equation with time-dependent terms which arises in models of phase separation in $$\mathbb {R}^N$$$$\begin{aligned} \partial _t u=- u + g \left( \beta (J*u) +\beta h(t)\right) \end{aligned}$$under some restrictions on h, growth restrictions on the nonlinear term g and $$\beta >1$$. We prove the existence, regularity and upper-semicontinuity of pul...... hiện toàn bộ
Attractivity in Time-Periodic Parabolic Systems and Application to Reaction–Diffusion Neural Networks
Differential Equations and Dynamical Systems - Tập 24 - Trang 109-127 - 2015
Benedetta Lisena
This paper is concerned with the global attractivity for a system of semilinear parabolic equations with homogeneous Dirichlet conditions, in a bounded Lipschitz domain. The coefficients are time-periodic and a delay appears in the nonlinear reaction terms. Our approach uses the Lyapunov method and new average estimates for the Halanay differential inequality. The efficiency and novelty of the int...... hiện toàn bộ
Robust Stability for Interval Stochastic Neural Networks with Time-Varying Discrete and Distributed Delays
Differential Equations and Dynamical Systems - Tập 19 - Trang 97-118 - 2011
Hongyi Li, K. C. Cheung, James Lam, Huijun Gao
This paper investigates the problem of robust stability for a class of stochastic interval neural networks with discrete and distributed time-varying delays. The discrete delays are assumed to be varying within a given interval, while the parameter uncertainties are assumed to be bounded in some given compact sets. Based on the Itô differential formula and stochastic stability theory, delay-range-...... hiện toàn bộ
A Note on Stochastic Gilpin–Ayala Population Model with Dispersal
Differential Equations and Dynamical Systems - Tập 25 Số 3 - Trang 417-430 - 2017
Lahrouz, Aadil, Settati, Adel
A stochastic Gilpin–Ayala population model with diffusion between two patches is studied. A sufficient conditions for extinction and persistence are established. Furthermore, the existence of a stationary distribution is showed. The analytical results are illustrated by computer simulations.
Nonlinear p(x)-Elliptic Equations in General Domains
Differential Equations and Dynamical Systems - Tập 30 Số 3 - Trang 607-630 - 2022
Elhoussine Azroul, Moussa Khouakhi, Chihab Yazough
On Fractional Semilinear Nonlocal Initial Value Problem with State Dependent Delay
Differential Equations and Dynamical Systems -
Md Mansur Alam, Shruti Dubey
Tổng số: 460   
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