Results 81 to 90 of about 9,017,418 (195)

Existence of Periodic Solutions and Stability of Zero Solution of a Mathematical Model of Schistosomiasis

Journal of Applied Mathematics, 2014
A mathematical model on schistosomiasis governed by periodic differential equations with a time delay was studied. By discussing boundedness of the solutions of this model and construction of a monotonic sequence, the existence of positive periodic ...
Lin Li, Zhicheng Liu
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Positive periodic solutions of singular systems

, 2010
The existence and multiplicity of positive periodic solutions for second order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. Our results provide a unified treatment for the problem and significantly improve several results in the literature ...
openaire   +2 more sources

The Existence of Positive Periodic Solution for a Class of Functional Differential Equation with Multi-Delays

, 2011
We discuss the existence of periodic positive solution of one kind of multiple time-delay functional differential equations with the cone theory and fixed index method in semi-order Banach space of nonlinear functional analysis.
Yu Cai Dong, Ge Hua Fan, Liang Hai Yi, Jing Xia   +3 more
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Necessary and sufficient conditions for the existence of periodic solution to singular problems with impulses

Electronic Journal of Differential Equations, 2014
In this article we give a necessary sufficient conditions for the existence of periodic solutions to impulsive periodic solution for a singular differential equation. The proof is based on the variational method.
Juntao Sun, Jifeng Chu
doaj  

Positive periodic solutions for third-order nonlinear differential equations

Electronic Journal of Differential Equations, 2011
For several classes of third-order constant coefficient linear differential equations we obtain existence and uniqueness of periodic solutions utilizing explicit Green's functions.
Jingli Ren, Stefan Siegmund, Yueli Chen
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The Dynamics of a Predator-Prey System with State-Dependent Feedback Control

Abstract and Applied Analysis, 2012
A Lotka-Volterra-type predator-prey system with state-dependent feedback control is investigated in both theoretical and numerical ways. Using the Poincaré map and the analogue of the Poincaré criterion, the sufficient conditions for the existence and ...
Hunki Baek
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Positive periodic solution for higher-order p-Laplacian neutral singular Rayleigh equation with variable coefficient

Boundary Value Problems, 2017
In this paper, we consider the existence of a positive periodic solution for the following kind of high-order p-Laplacian neutral singular Rayleigh equation with variable coefficient: ( φ p ( x ( t ) − c ( t ) x ( t − σ ) ) ( n ) ) ( m ) + f ( t , x ...
Yun Xin, Shaowen Yao, Zhibo Cheng
doaj   +1 more source

Positive solutions for the periodic-parabolic problem with large diffusion

Networks and Heterogeneous Media
<p>In this paper, we study the positive solutions of the periodic-parabolic logistic equation with indefinite weight function and nonhomogeneous diffusion coefficient. By employing sufficient conditions to guarantee negative principal eigenvalue, we obtain the existence, uniqueness, and stability of the positive periodic solutions.
Mingming Fan 0005, Jianwen Sun
openaire   +1 more source

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS

Kyushu Journal of Mathematics, 2002
The authors investigate the existence of positive periodic solutions to a general functional-differential equation which includes many mathematical ecological equations. They apply a new method which is based on the Krasnoselskii fixed-point theorem.
WAN, Aying, JIANG, Daqing
openaire   +3 more sources

Existence and multiplicity of positive periodic solutions for first-order singular systems with impulse effects

Electronic Journal of Differential Equations, 2013
In this article, we consider the existence and multiplicity of positive periodic solutions for a first-order singular system with impulse effects. The proof of our main result is based on Krasnoselskii's fixed point theorem in a cone.
Bian-Xia Yang
doaj