共查询到20条相似文献,搜索用时 62 毫秒
1.
Yong Duan Peng Tian Shunian Zhang 《Journal of Applied Mathematics and Computing》2003,11(1-2):243-253
In this paper, oscillation and stability of nonlinear neutral impulsive delay differential equation are studied. The main result of this paper is that oscillation and stability of nonlinear impulsive neutral delay differential equation are equivalent to oscillation and stability of corresponding nonimpulsive neutral delay differential equations. At last, two examples are given to illustrate the importance of this study. 相似文献
2.
脉冲强迫非线性时滞微分方程的渐近性 总被引:3,自引:0,他引:3
本文研究一类脉冲强迫非线性时滞微分方程的渐近性,所得结果不仅适用于线性方程和非线性方程,强迫方程和非强迫方程,脉冲方程和非脉冲方程,而且改进了最近文献[8]的主要结果. 相似文献
3.
考虑一类具有正负系数的多时滞二阶线性脉冲中立型微分方程,证明了该方程解的振动性等价于一类非脉冲中立型方程解的振动性,得到了方程所有解存在的充分条件. 相似文献
4.
The purpose of this paper is to investigate the asymptotic behavior of solutions of the forced nonlinear delay differential
equations with impulses
Our results, which hold for linear and nonlinear equations, forced and unforced equations, impulsive and nonimpulsive equations,
improve and generalize the known results recently obtained in [8].
Received September 7, 1997, Revised May 26, 1998, Accepted July 15, 1998 相似文献
5.
6.
梁赛良 《数学的实践与认识》2007,37(18):205-209
考虑一类二阶非线性脉冲时滞微分方程,得到了方程所有解振动的两个充分条件,推广了D■urina和Stavroulakis[Appl Math Comput,2003,140,445—453]中关于非脉冲方程的相关结果. 相似文献
7.
张云霞 《数学的实践与认识》2007,37(20):210-214
利用广义黎卡提变换得到了一类二阶非线性脉冲时滞微分方程所有解振动的充分条件,推广了Dz∨urina和Stavroulakis中关于非脉冲方程的相关结果. 相似文献
8.
A. Özbekler 《Applied Mathematics Letters》2012,25(3):294-300
In this paper, we give a nonoscillation criterion for half-linear equations with periodic coefficients under fixed moments of impulse actions. The method is based on the existence of positive solutions of the related Riccati equation and a recently obtained comparison principle. In the special case when the equation becomes impulsive Hill equation new oscillation criteria are also obtained. 相似文献
9.
研究抽象Banach空间中线性微微分方程的可解性,利用算子双半群方法,讨论了在确定时间跳跃或脉冲的线性微分方程解的存在性,表明在一定条件下间断或脉冲方程的解存在唯一. 相似文献
10.
《中国科学 数学(英文版)》2015,(9)
A variation of parameters formula with Green function type and Gronwall type integral inequality are proved for impulsive differential equations involving piecewise constant delay of generalized type. Some results for piecewise constant linear and nonlinear delay differential equations with impulsive effects are obtained.They include existence and uniqueness theorems, a variation of parameters formula, integral inequalities, the oscillation property and some applications. 相似文献
11.
In this paper, we study the oscillation of impulsive Caputo fractional differential equation. Sufficient conditions for the asymptotic and oscillation of the equation are obtained by using the inequality principle and Bihari Lemma. An example is given to illustrate the results. This is the first time to study the oscillation of impulsive fractional differential equation with Caputo derivative. 相似文献
12.
Wen Wang Shutang Liu Dadong Tian Qiuyue Zhao 《Mathematical Methods in the Applied Sciences》2017,40(18):7175-7184
In this paper, we consider a nonautonomous impulsive plankton model with mutual help of preys. Sufficient conditions ensuring permanence and global attractivity of the model are established by the relation between solutions of impulsive system and corresponding nonimpulsive system. Also, we propose the conditions for which the species of system are driven to extinction. Numerical simulations are given to verify the main results. 相似文献
13.
Qiaoluan Li Zhenguo Zhang Fang Guo Zhiyong Liu Haiyan Liang 《Journal of Computational and Applied Mathematics》2009
In this paper, we investigate the oscillation of Third-order difference equation with impulses. Some sufficient conditions for the oscillatory behavior of the solutions of Third-order impulsive difference equations are obtained. 相似文献
14.
In the present paper theorems on asymptotic equivalence of a linear system of impulsive differential equations and a system
of impulsive differential-difference equations are proved by the help of integral inequalities of Gronwall-Bellman type.
Sunto Usando delle disequaglianze di tipo Gronwall-Bellman sono dimostrati dei teoremi sull’equivalenza asintotica tra sistemi lineari di equazioni differenziali con impulsi e sistemi con impulsi di equazioni differenziali-differenze.相似文献
15.
This paper deals with the existence of mild solutions for a class of semilinear nonlocal impulsive evolution equations in ordered Banach spaces. The existence and uniqueness theorem of mild solution for the associated linear nonlocal impulsive evolution equation is established. With the aid of the theorem, the existence of mild solutions for nonlinear nonlocal impulsive evolution equation is obtained by using perturbation method and monotone iterative technique. The theorems proved in this paper improve and extend some related results in ordinary differential equations and partial differential equations. Moreover, we present two examples to illustrate the feasibility of our abstract results. 相似文献
16.
利用了Lakshmikantham等人建立的脉冲微分不等式讨论了一类二阶非线性脉冲微分方程解的振动性质,获得了此类方程振动所应具备的充分条件,同时改进了一些已知的结果,最后用一个具体的例子说明了是否带有脉冲对微分方程的振动性有很大的影响. 相似文献
17.
Yongrui Duan Weiping Zhang Jurang Yan 《Journal of Mathematical Analysis and Applications》2003,277(2):465-473
In this paper, we will study generic oscillation and generic nonoscillation of second order impulsive delay differential equations. Some necessary and sufficient conditions and sufficient conditions are obtained for both phenomena based on the root of characteristic equation. 相似文献
18.
A. Özbekler 《Journal of Mathematical Analysis and Applications》2006,319(2):410-423
In this paper, we derive a Picone type formula for second-order linear non-selfadjoint impulsive differential equations having fixed moments of impulse actions, and obtain a Wirtinger type inequality, a Leighton type comparison theorem, and a Sturm-Picone comparison theorem for such equations. Moreover, several oscillation criteria are also derived as applications. 相似文献
19.
In this paper, we will study generic oscillation and generic nonoscillation of first order impulsive delay differential equations. A necessary and sufficient condition and some sufficient conditions are obtained for both phenomena based on the root of characteristic equation. 相似文献