Results 31 to 40 of about 263 (70)
On existence of periodic solutions of the Rayleigh equation of retarded type
In this paper, we give two sufficient conditions on the existence of periodic solutions of the non‐autonomous Rayleigh equation of retarded type by using the coincidence degree theory.
Genqiang Wang, Jurang Yan
wiley +1 more source
Branches of Forced Oscillations Induced by a Delayed Periodic Force
We study global continuation properties of the set of T-periodic solutions of parameterized second order delay differential equations with constant time lag on smooth manifolds. We apply our results to get multiplicity of T-periodic solutions.
Calamai Alessandro +2 more
doaj +1 more source
. By applying the method of coincidence degree and constructing a suitable Lyapunov functional, some sufficient conditions are established for the existence and globally exponential stability of periodic solutions for a kind of impulsive fuzzy ...
Qianhong Zhang +2 more
semanticscholar +1 more source
Delay differential equations: a partially ordered sets approach in vectorial metric spaces
In this paper we develop a fixed point theorem in the partially ordered vector metric space C([−τ,0],Rn) by using vectorial norm. Then we use it to prove the existence of periodic solutions to nonlinear delay differential equations.
M. Bachar, M. Khamsi
semanticscholar +1 more source
This paper is concerned with the global exponential convergence of Cohen-Grossberg neural networks with continuously distributed leakage delays. By using the Lyapunov functional method and differential inequality techniques, we propose a new approach to ...
Zhibin Chen, Shuhua Gong
semanticscholar +2 more sources
Anti-periodic solutions for a class of third-order nonlinear differential equations with a deviating argument [PDF]
In this paper, we study a class of third-order nonlinear differential equations with a deviating argument and establish some sufficient conditions for the existence and exponential stability of anti-periodic solutions of the equation.
Fan, Qiyi +3 more
core +1 more source
A Dynamic P53-MDM2 Model with Time Delay
Specific activator and repressor transcription factors which bind to specific regulator DNA sequences, play an important role in gene activity control.
Adimy +10 more
core +1 more source
On the stability of periodic orbits in delay equations with large delay [PDF]
We prove a necessary and sufficient criterion for the exponential stability of periodic solutions of delay differential equations with large delay. We show that for sufficiently large delay the Floquet spectrum near criticality is characterized by a set ...
A. L. Skubachevskii +20 more
core +3 more sources
We obtain a new quantitative deformation lemma, and then gain a new mountain pass theorem. More precisely, the new mountain pass theorem is independent of the functional value on the boundary of the mountain, which improves the well known results (\cite ...
Ding, Liang +2 more
core +1 more source
Global exponential stability of nonautonomous neural network models with continuous distributed delays [PDF]
For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type,
Baldi +23 more
core +2 more sources

