Results 21 to 30 of about 263 (70)
Open Mathematics, 2022 This study elucidates the sufficient conditions for the first-order nonlinear differential equations with periodic coefficients and time-varying delays to have positive periodic solutions.
Han Xiaoling, Lei Ceyu
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Open Mathematics, 2019 Overf the last few years, by utilizing Mawhin’s continuation theorem of coincidence degree theory and Lyapunov functional, many scholars have been concerned with the global asymptotical stability of positive periodic solutions for the non-linear ...
Han Sufang +4 more
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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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Stability Analysis of Periodic Solutions of Some Duffing’s Equations
Open Journal of Applied Sciences, 2019 In this paper, some stability results were reviewed. A suitable and complete Lyapunov function for the hard spring model was constructed using the Cartwright method.
E. Eze, U. E. Obasi, E. U. Agwu
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Existence and uniqueness of a positive periodic solution for Rayleigh type ϕ-Laplacian equation
Advances in Differential Equations, 2014 By using the Manásevich-Mawhin continuation theorem and some analysis skills, we establish some sufficient condition for the existence and uniqueness of positive T-periodic solutions for a generalized Rayleigh type ϕ-Laplacian operator equation.
Yun Xin, Zhibo Cheng
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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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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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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
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Advances in Differential Equations, 2014 In this paper, we study the existence and stability of positive periodic solutions for an n-species Lotka-Volterra system with deviating arguments, xi′(t)=xi(t)(biri(t)−aii(t)xi(t−τii(t))−∑j=1,j≠inkijaij(t)xj(t−τij(t))), i=1,2,…,n, referred to as (E). By
Yan Xu, Zhimin He
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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
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