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$$ ...... hiện toàn bộ
Well-posedness and Energy Decay of Solutions to a Nonlinear Bresse System with Delay Terms
Differential Equations and Dynamical Systems - Tập 28 - Trang 447-478 - 2016
Abbes Benaissa, Mostefa Miloudi, Mokhtar Mokhtari
We consider the Bresse system in bounded domain with delay terms in the nonlinear internal feedbacks $$\begin{aligned} \left\{ {\begin{array}{l}\rho _{1}\varphi _{tt}-Gh (\varphi _{x}+\psi +l\omega )_{x}-lEh(\omega _{x}-l\varphi )+\mu _{1}g_1(\varphi _{t}(x,t)) +\mu _{2}g_2(\varphi _{t}(x,t-\tau _{1}))=0\\ \rho _{2}\psi _{tt}-EI\psi _{xx}+Gh(\varphi _{x}+\psi +l\omega ) +\widetilde{\mu _{1}}\widet...... 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
Exact Solutions of the Modified Benjamin–Bona–Mahoney (mBBM) Equation by Using the First Integral Method
Differential Equations and Dynamical Systems - Tập 21 - Trang 199-204 - 2012
Yinghui He, Shaolin Li, Yao Long
In this paper, the first integral method is used to construct exact solutions of the modified Benjamin–Bona–Mahoney (mBBM) equation. This method can be applied to non-integrable equations as well as to integrable ones. By means of this method, some exact solutions of mBBM equations are formally obtained. Obtained results clearly indicate the reliability and efficiency of the first integral method.
Whether chaos can be achieved in piecewise linear boundary value problems
Differential Equations and Dynamical Systems - Tập 18 - Trang 1-9 - 2010
E. Yu. Romanenko, A. N. Sharkovsky
We show that chaos in piecewise linear partial differential equations with linear boundary conditions is realizable: even the simplest boundary value problems of this kind can possess chaotic solutions in an open region of the parameter space.
On the Controllability of Some Nonlinear Partial Functional Integrodifferential Equations with Finite Delay in Banach Spaces
Differential Equations and Dynamical Systems - Tập 29 - Trang 673-688 - 2017
Patrice Ndambomve, Khalil Ezzinbi
This work concerns the study of the controllability for some nonlinear partial functional integrodifferential equation with finite delay arising in the modelling of materials with memory in Banach spaces. We give sufficient conditions that ensure the controllability of the system by supposing that its undelayed part admits a resolvent operator in the sense of Grimmer, and by making use of the meas...... hiện toàn bộ
The Nonexistence of Positive Solutions for A Coupled System of Non-separated Boundary Value Problems
Differential Equations and Dynamical Systems - Tập 31 - Trang 1-15 - 2019
Sabbavarapu Nageswara Rao
In this paper, we consider the non-separated boundary value problem for system of nonlinear Riemann–Liouville fractional differential equations $$\begin{aligned} \begin{aligned} D_{0^+}^{\alpha }x(t)+\lambda f(t, x(t), y(t))=0,~~0... hiện toàn bộ
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