Positive Periodic Solution for Neutral-Type Integral Differential Equation Arising in Epidemic Model
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 solutions to impulsive delay differentialequations
TURKISH JOURNAL OF MATHEMATICS, 2017 Summary: In this paper we discuss the existence of positive periodic solutions for nonautonomous second order delay differential equations with singular nonlinearities in the presence of impulsive effects. Simple sufficient conditions are provided that enable us to obtain positive periodic solutions. Our approach is based on a variational method.
Daoudi-Merzagui, Naima, Dib, Fatima
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Positive Periodic Solutions for Nonlinear Difference Equations with Periodic Coefficients
Journal of Mathematical Analysis and Applications, 1999 The authors consider the following boundary value problem \[ -\Delta [p(n-1)\Delta y(n-1)]+q(n) y(n)=f(n,y(n)), \quad n=1,2,\dots,N, \] \[ y(0)=y(N),\qquad p(0)\Delta y(0)=p(N)\Delta y(N). \] Using a fixed point theorem in cones, existence of one as well as two solutions is established for the boundary value problem.
Atici, FM, Guseinov, GS
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Global Stability of Positive Periodic Solutions and Almost Periodic Solutions for a Discrete Competitive System [PDF]
Discrete Dynamics in Nature and Society, 2015 A discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition, an example and numerical simulations are presented to illustrate and substantiate the results of ...
Heping Ma, Jianguo Gao, Lingling Xie
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Existence of positive periodic solution of a periodic cooperative model with delays and impulses
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 indefinite singular Liénard equation with p-Laplacian
Advances in Difference Equations, 2019 The efficient conditions guaranteeing the existence of positive T-periodic solution to the p-Laplacian–Liénard equation (ϕp(x′(t)))′+f(x(t))x′(t)+α1(t)g(x(t))=α2(t)xμ(t), $$\bigl(\phi _{p}\bigl(x'(t)\bigr) \bigr)'+f \bigl(x(t)\bigr)x'(t)+\alpha _{1}(t)g ...
Tiantian Zhou, Bo Du, Haiqing Du
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Positive Periodic Solution of Second-Order Coupled Systems with Singularities
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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New existence results for coupled delayed differential systems with multi-parameters
Boundary Value Problems, 2020 In this paper, several novel existence and multiplicity results are established for a coupled functional differential system with multi-parameters.
Ruipeng Chen, Xiaoya Li
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Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations
Abstract and Applied Analysis, 2013 We study the existence of a positive periodic solution for second-order singular semipositone differential equation by a nonlinear alternative principle of Leray-Schauder.
Xiumei Xing
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Positive almost periodic type solutions to a class of nonlinear difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper is concerned with positive almost periodic type solutions to a class of nonlinear difference equation with delay. By using a fixed point theorem in partially ordered Banach spaces, we establish several theorems about the existence and ...
Huisheng Ding +2 more
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