Results 51 to 60 of about 3,092 (168)

Existence and Uniqueness of Solutions for Impulsive Stochastic Differential Variational Inequalities with Applications

open access: yesAxioms
This paper focuses on exploring an impulsive stochastic differential variational inequality (ISDVI), which combines an impulsive stochastic differential equation and a stochastic variational inequality. Innovatively, our work incorporates two key aspects:
Wei Liu, Kui Liu
doaj   +1 more source

Extinction and Permanence of a Three-Species Lotka-Volterra System with Impulsive Control Strategies

open access: yesDiscrete Dynamics in Nature and Society, 2008
A three-species Lotka-Volterra system with impulsive control strategies containing the biological control (the constant impulse) and the chemical control (the proportional impulse) with the same period, but not simultaneously, is investigated.
Hunki Baek
doaj   +1 more source

Existence and uniqueness of solutions to first-order systems of nonlinear impulsive boundary-value problems with sub-, super-linear or linear growth

open access: yesElectronic Journal of Differential Equations, 2007
In this work we present some new results concerning the existence and uniqueness of solutions to an impulsive first-order, nonlinear ordinary differential equation with "non-periodic" boundary conditions.
Christopher C. Tisdell, Juan J. Nieto
doaj  

Asymptotic solutions of differential equations with singular impulses

open access: yesCarpathian Journal of Mathematics
The paper considers impulsive systems with singularities. The main novelty is that beside the singularity of the differential equation, the impulsive equation is a singular one. The method of boundary functions is applied to obtain the main result. Examples with simulations confirming the theoretical results are given.
Aviltay, Nauryzbay   +2 more
openaire   +3 more sources

Weak Solutions for a p-Laplacian Impulsive Differential Equation

open access: yesAbstract and Applied Analysis, 2013
By the virtue of variational method and critical point theory, we give some existence results of weak solutions for a p-Laplacian impulsive differential equation with Dirichlet boundary conditions.
Wei Dong, Jiafa Xu, Xiaoyan Zhang
doaj   +1 more source

On delay differential equations with impulses

open access: yesJournal of Mathematical Analysis and Applications, 1989
The authors' summary: Sufficient conditions are obtained respectively for the asymptotic stability of the trivial solution of \[ \dot x(t)+ax(t- \tau)=\sum^{\infty}_{j=1}b_ jx(t_ j-\tau)(t-t_ j),\quad t\neq t_ j, \] and for the existence of a nonoscillatory solution; conditions are also obtained for all solutions to be oscillatory.
Gopalsamy, K, Zhang, B.G
openaire   +1 more source

Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
In the present paper it is proved that the ordinary dichotomy is preserved under perturbations of the coefficient matrix of the linear impulsive differential equation.
N. V. Milev, D. D. Bainov
doaj   +1 more source

Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses

open access: yesAbstract and Applied Analysis, 2014
According to integrated pest management strategies, we construct and investigate the dynamics of a Holling-Tanner predator-prey system with state dependent impulsive effects by releasing natural enemies and spraying pesticide at different thresholds ...
Wencai Zhao   +3 more
doaj   +1 more source

A new comparison principle and its application to nonlinear impulsive functional integro-differential equations

open access: yesAdvances in Difference Equations, 2018
In this article, we first create a new comparison principle for a nonlinear impulsive boundary problem involving different deviating arguments. Then we employ the new result and iterative method to study the existence of the max-minimal solution of a ...
Yingmin Hou, Lihong Zhang, Guotao Wang
doaj   +1 more source

Interval oscillation criteria for second-order forced delay differential equations under impulse effects

open access: yesElectronic Journal of Differential Equations, 2013
We establish some oscillation criteria for a forced second-order differential equation with impulses. These results extend some well-known results for forced second-order impulsive differential equations with delay.
Qiaoluan Li, Wing-Sum Cheung
doaj  

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