Results 51 to 60 of about 2,263 (165)

On \(L_p(k)\)-equivalence of impulsive differential equations and its applications to partial impulsive differential equations

Advances in Difference Equations, 2012
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Georgieva, A, Kostadinov, S, Stamov, GT, Alzabut, JO   +3 more
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Asymptotic properties of a stochastic nonautonomous competitive system with impulsive perturbations

Advances in Difference Equations, 2017
In this paper, a generalized nonautonomous stochastic competitive system with impulsive perturbations is studied. By the theories of impulsive differential equations and stochastic differential equations, we have established some asymptotic properties of
Liu Yang, Baodan Tian
doaj   +1 more source

Practical Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”

International Journal of Differential Equations, 2011
The object of investigations is a system of impulsive differential equations with “supremum.” These equations are not widely studied yet, and at the same time they are adequate mathematical model of many real world processes in which the present state ...
S. G. Hristova, A. Georgieva
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Exponential Stability of Impulsive Delay Differential Equations

Abstract and Applied Analysis, 2013
The main objective of this paper is to further investigate the exponential stability of a class of impulsive delay differential equations. Several new criteria for the exponential stability are analytically established based on Razumikhin techniques ...
G. L. Zhang, M. H. Song, M. Z. Liu
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Asymptotic solutions of differential equations with singular impulses

Carpathian 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, Akhmet, Marat, Zhamanshin, Akylbek   +2 more
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On delay differential equations with impulses

Journal 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

Resonance phenomena in the second differential order equations with nonlinear impulsive effects

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we discuss the resonance phenomena in linear and weakly nonlinear impulsive differential equations. Using a topological approach, we obtain the Landesman–Lazer type necessary and sufficient conditions for the existence of periodic ...
Fanfan Chen, Dingbian Qian, Nannan Xu
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Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe

Abstract and Applied Analysis, 2013
This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe.
Yefeng He, Yepeng Xing
doaj   +1 more source

Piecewise weighted pseudo almost periodic solutions of impulsive integro-differential equations via fractional operators

Electronic Journal of Differential Equations, 2015
In this article, we show sufficient conditions for the existence, uniqueness and attractivity of piecewise weighted pseudo almost periodic classical solution of nonlinear impulsive integro-differential equations.
Zhinan Xia, Dingjiang Wang
doaj  

Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations

International Journal of Differential Equations, 2019
The study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects.
Mohamed Hannabou, Hilal Khalid
doaj   +1 more source