Journal ArticleDOI
On Positive Periodic Solutions to Impulsive Differential Equations with Delays
Jianli Li,Jianhua Shen +1 more
TLDR
In this article, the existence of positive periodic solutions of differential equations with impulses and delays was studied and some new results were obtained by using the Krasnoselskii fixed point theorem on cone compression and expansion.Abstract:
In this paper, by using the Krasnoselskii fixed point theorem on cone compression and expansion, we study the existence of positive periodic solutions of differential equations with impulses and delays, and obtain some new results.read more
Citations
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Journal ArticleDOI
Positive solutions of impulsive time-scale boundary value problems with p-Laplacian on the half-line
TL;DR: In this article, four functionals fixed point theorem is used to investigate the existence of positive solutions for second-order time-scale boundary value problem of impulsive dynamic equations on the half-line.
Posted Content
A Periodic Solution to Impulsive Logistic Equation
TL;DR: In this article, a new representation of periodic solution to the impulsive logistic equation was provided, which is based on the one presented in [7] and [8].
Journal ArticleDOI
Existence and n-multiplicity of positive periodic solutions for impulsive functional differential equations with two parameters
Qiong Meng,Jurang Yan +1 more
TL;DR: In this article, the authors employ the well-known Krasnoselskii fixed point theorem to study the existence and n-multiplicity of positive periodic solutions for the periodic impulsive functional differential equations with two parameters.
Journal ArticleDOI
Multiple Positive Solutions for Nonlinear First-Order Impulsive Dynamic Equations on Time Scales with Parameter
Da-Bin Wang,Wen Guan +1 more
TL;DR: In this article, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales with parameter are obtained by using the Leggett-Williams fixed point theorem.
References
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Journal ArticleDOI
Uniform asymptotic stability of impulsive delay differential equations
Xinzhi Liu,George Ballinger +1 more
TL;DR: In this paper, the authors established criteria on uniform asymptotic stability for impulsive delay differential equations using Lyapunov functions and Razumikhin techniques, and showed that impulses do contribute to yield stability properties even when the underlying system does not enjoy any stability behavior.
Journal ArticleDOI
On the existence of positive solutions for semilinear elliptic equations in the annulus
TL;DR: In this article, the existence of positive radial solutions of Δu+g(|x|) ƒ(u) = 0 in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions was proved.
Journal ArticleDOI
Stability results for impulsive differential systems with applications to population growth models
TL;DR: In this article, it is shown that impulses do contribute to yield stability properties even when the corresponding differential system without impulses does not enjoy any stability behavior, and these results are applied to some population growth models.
Journal ArticleDOI
Permanence of population growth models with impulsive effects
George Ballinger,Xinzhi Liu +1 more
TL;DR: In this article, the permanence of populations which undergo impulsive effects at fixed times between intervals of continuous evolution governed by a differential system was established, and it was shown that suitable impulses may prevent the extinction or unbounded growth of populations whose evolutions are otherwise governed solely by the differential system.
Journal ArticleDOI
Existence, uniqueness and boundedness results for impulsive delay differential equations
Gcorge Ballinger,Xinzhi Liu +1 more
TL;DR: In this article, the theory of existence and uniqueness of solutions of general impulsive delay differential equations was developed by utilizing a non-classical approach, and the boundedness of solutions was established through the use of Lyapunov functionals.
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