Positive Periodic Solution for Second-Order Nonlinear Differential Equations with Variable Coefficients and Mixed Delays [PDF]
Entropy, 2022 In this paper, we study two types of second-order nonlinear differential equations with variable coefficients and mixed delays. Based on Krasnoselskii’s fixed point theorem, the existence results of positive periodic solution are established.
Zejian Dai, Bo Du
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Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we consider a kind of p-Laplacian neutral Rayleigh equation with singularity of attractive type, (ϕp(u(t)−cu(t−δ))′)′+f(t,u′(t))+g(t,u(t))=e(t). $$\bigl(\phi_{p} \bigl(u(t)-cu(t-\delta) \bigr)' \bigr)'+f \bigl(t,u'(t) \bigr)+g \bigl(t, u(t)
Yun Xin, Hongmin Liu, Zhibo Cheng
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Positive Periodic Solution for Pipe/Tank Flow Configurations with Friction
Mathematics, 2023 In this article, we study a periodic boundary value problem related to valveless pumping. The valveless pumping is described by the unidirectional flow of liquid in a system.
Haiqing Du, Xiaojing Wang, Bo Du
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On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay [PDF]
Opuscula Mathematica, 2014 We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the ...
Emmanuel K. Essel, Ernest Yankson
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Positive unstable periodic solutions for superlinear parabolic equations [PDF]
Proceedings of the American Mathematical Society, 1995 In this paper, we are concerned with a superlinear parabolic equation \[ { ∂ u ∂ t
Hirano, Norimichi, Mizoguchi, Noriko
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Multiple Positive Periodic Solutions for Delay Differential System [PDF]
Discrete Dynamics in Nature and Society, 2009 We obtain some existence results for multiple positive periodic solutions of some delay differential systems. Examples are presented as applications. For a general positive integer m ≥ 2, main results of this paper do not appear in former literatures as we know. Comparing with the existing results, our results are new also when m = 1.
Zhaocai Hao, Ti‐Jun Xiao, Jin Liang
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Positive periodic solution for Nicholson’s blowfies systems with patch structure
Advances in Difference Equations, 2020 A generalized Nicholson blowfies system with patch structure is studied. Some existence and asymptotic stability results of the positive periodic solution to the considered system are obtained by coincidence degree theory and some analysis techniques ...
Feng Duan, Bo Du
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Positive periodic solutions for discrete time-delay hematopoiesis model with impulses
Open Mathematics, 2023 The present article is devoted to the positive periodic solution for impulsive discrete hematopoiesis model. This model is described by a first-order nonlinear difference equation with multiple delays and impulses.
Yan Yan
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An exact expression of positive periodic solution for a first-order singular equation
Advances in Difference Equations, 2020 The main purpose of this paper is to obtain an exact expression of the positive periodic solution for a first-order differential equation with attractive and repulsive singularities.
Yun Xin, Xiaoxiao Cui, Jie Liu
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Positive Periodic Solutions of an Epidemic Model with Seasonality [PDF]
The Scientific World Journal, 2013 An SEI autonomous model with logistic growth rate and its corresponding nonautonomous model are investigated. For the autonomous case, we give the attractive regions of equilibria and perform some numerical simulations. Basic demographic reproduction number Rd is obtained.
Sun, Gui-Quan +4 more
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