Positive Periodic Solution for Neutral-Type Integral Differential Equation Arising in Epidemic Model [PDF]
Mathematics, 2023 This paper is devoted to investigating a class of neutral-type integral differential equations arising in an epidemic model. By using Mawhin’s continuation theorem and the properties of neutral-type operators, we obtain the existence conditions for ...
Qing Yang +4 more
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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 Pipe/Tank Flow Configurations with Friction [PDF]
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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Existence of positive periodic solution of a periodic cooperative model with delays and impulses [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Sufficient conditions are obtained for the existence of at least one positive periodic solution of a periodic cooperative model with delays and impulses by using Mawhin's continuation theorem of coincidence degree theory.
Yongkun Li, Wenya Xing
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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 of Second-Order Coupled Systems with Singularities [PDF]
Abstract and Applied Analysis, 2013 This paper establishes the existence of periodic solution for a kind of second-order singular nonautonomous coupled systems. Our approach is based on fixed point theorem in cones. Examples are given to illustrate the main result.
Tiantian Ma
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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 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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