Results 21 to 30 of about 197 (51)
Global Attractivity of a Circadian Pacemaker Model in a Periodic Environment [PDF]
, 2005 In this paper, we propose a delay differential equation with continuous periodic parameters to model the circadian pacemaker in a periodic environment. First, we show the existence of a positive periodic solution by using the theory of coincidence degree.
Chen, Yuming, Wang, Lin
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Open Mathematics, 2016 The paper deals with the existence of positive ω-periodic solutions for a class of nonlinear delay differential equations. For example, such equations represent the model for the survival of red blood cells in an animal. The sufficient conditions for the
Dorociaková Božena, Olach Rudolf
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 64, Page 4057-4070, 2003., 2003 A delayed three‐species periodic food‐chain system with Holling type‐II functional response is investigated. By using Gaines and Mawhin′s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is derived for the existence of positive periodic solutions to the system.
Qiming Liu, Rui Xu
wiley +1 more source
An iterated graph construction and periodic orbits of Hamiltonian delay equations [PDF]
, 2018 According to the Arnold conjectures and Floer's proofs, there are non-trivial lower bounds for the number of periodic solutions of Hamiltonian differential equations on a closed symplectic manifold whose symplectic form vanishes on spheres.
Albers, Peter +2 more
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Periodic solutions of periodic generalized food limited model
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 265-271, 2001., 2001 By using the continuation theorem of coincidence degree theory, the existence of positive periodic solutions for a periodic generalized food limited model with state dependent delays and distributed delays is studied, respectively.
Yongkun Li
wiley +1 more source
On existence of periodic solutions of the Rayleigh equation of retarded type
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 1, Page 65-68, 2000., 2000 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
Advanced Nonlinear Studies, 2019 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
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On the stability of periodic orbits in delay equations with large delay [PDF]
, 2011 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
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Anti-periodic solutions for a class of third-order nonlinear differential equations with a deviating argument [PDF]
, 2010 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
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A Dynamic P53-MDM2 Model with Time Delay
, 2005 Specific activator and repressor transcription factors which bind to specific regulator DNA sequences, play an important role in gene activity control.
Adimy +10 more
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