共查询到20条相似文献,搜索用时 15 毫秒
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By utilizing a fixed point theorem on cone,some new results on the existence of positive periodic solutions for nonautonomous differential equations with delay are derived. 相似文献
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Bassem Ben Hamed Imen Ellouze Mohamed Ali Hammami 《Mediterranean Journal of Mathematics》2011,8(4):603-616
In this paper, we investigate the problem of global uniform practical exponential stability of a general nonlinear non autonomous
differential delay equations. Using the global uniform practical exponential stability of the corresponding differential equation
without delay, we show that the differential delay equation will remain globally uniformly practically exponentially stable
provided that the time-lag is small enough. Finally, some illustrative examples are given to demonstrate the validity of the
results. 相似文献
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本文讨论一类无穷时滞非线性中立型泛函微分方程解的渐近性态与零解的一致稳定性,得到若干简单的稳定性判据。 相似文献
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非线性无穷时滞微分系统的稳定性 总被引:1,自引:0,他引:1
本文主要内容是:(1)在局部条件下,建立了一类具有无穷时滞的非线性的正、反向积分微分不等式;(2)结合常数变易法和Liapunov函数法(不必寻找P-函数),利用所建立的不等式研究了非线性无穷时滞微分系统的稳定性;(3)举例说明了本文定理的应用和优点。 相似文献
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考虑非线性二阶中立型微分方程,[a(t)x(t)-∑ from i=1 to m (p_i(t)x(τi(t)))]″-∫from n=a to b (f(t,ξ,x[g(t,ξ)])dσ(ξ))=0,t≥t_0,和相应不等式[a(t)x(t)-∑ from i=1 to m (p_i(t)x(τi(t)))]″-∫from n=a to b (f(t,ξ,x[g(t,ξ)])dσ(ξ))≥0,t≥t_0.存在正解是相互等价的.其中a(t),pi(t)∈C([t0,∞),R+),a(t)>0,τi(t)∈C(R~+,R~+),τi(t)t,limt→∞τi(t)=∞(i=1,2,…,m).g(t,ξ)∈C([t_0,∞)×[a,b],R+).g(t,ξ)是分别关于t和ξ的增函数.g(t,ξ)t,ξ∈[a,b],limt→∞,ξ∈[a,b]g(t,ξ)=∞.f(t,ξ,x)∈C([t_0,∞)×[a,b]×R,R+).当x>0时,xf(t,ξ,x)>0.σ(ξ)∈C([a,b],R),且σ(ξ)非减. 相似文献
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收稿研究了一类带多个小滞量的非线性延迟微分方程的指数稳定性,证明了在适当条件下,上述延迟微分方程可保留相应常微分方程的指数稳定性.所获稳定性判据修正和扩展了已有延迟微分方程的相关结果.在文末,数值例子进一步阐明了其稳定性理论. 相似文献
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This paper is devoted to a study of nonlinear stability of general linear methods for the numerical solution of delay differential equations in Hilbert spaces. New stability concepts are further introduced. The stability properties of (k,p,q)-algebraically stable general linear methods with piecewise constant or linear interpolation procedure are investigated. We also discuss stability of linear multistep methods viewed as a special subset of the class of general linear methods. 相似文献
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A. S. Bataineh A. K. Alomari M. S. M. Noorani I. Hashim R. Nazar 《Acta Appl Math》2009,105(2):189-198
Differential equations of fractional order appear in many applications in physics, chemistry and engineering. An effective
and easy-to-use method for solving such equations is needed. In this paper, series solutions of the FDEs are presented using
the homotopy analysis method (HAM). The HAM provides a convenient way of controlling the convergence region and rate of the
series solution. It is confirmed that the HAM series solutions contain the Adomian decomposition method (ADM) solution as
special cases.
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In this paper, oscillatory properties of solutions of certain hyperbolic partial differential equations with multi-delays are investigated and a series of sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delays. 相似文献
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一类具有脉冲的非线性时滞微分方程解的渐进性 总被引:2,自引:0,他引:2
研究了-类具有脉冲的二阶非线性时滞微分方程 (r(t))X'-p(t)x'(t) n∑i=1 qi(t)x(t-σi) f(t)=0, t≠tk, x(t k)-x(tk)=akx(tk),x1(t k)-x1(tk)=bkx1(tk), k∈z 的解的渐近性,并得到了一系列相关的充分条件. 相似文献
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Under linear expectation(or classical probability), the stability for stochastic differential delay equations(SDDEs), where their coeficients are either linear or nonlinear but bounded by linear functions, has been investigated intensively. Recently, the stability of highly nonlinear hybrid stochastic differential equations is studied by some researchers. In this paper,by using Peng's G-expectation theory, we first prove the existence and uniqueness of solutions to SDDEs driven by G-Brownian motion(G-SDDEs) under local Lipschitz and linear growth conditions. Then the second kind of stability and the dependence of the solutions to G-SDDEs are studied. Finally, we explore the stability and boundedness of highly nonlinear G-SDDEs. 相似文献
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利用Liapunov函数法,得到了一个新的、证明某些四阶非线性时滞微分方程零解渐近稳定的结果.建立结果的限制性条件弱于其他文献给出的的方法. 相似文献
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本文研究一类非线性中立型延迟微分方程一般线性方法的数值稳定性.证明了一般线性方法为(k,p,O)-代数稳定时,在一定的约束条件下,其数值解保持微分方程理论解的稳定性质,特别是证明了在约束网格情形代数靛的-般线性方法能无条件保持解析解的稳定性. 相似文献
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延迟微分方程单支θ方法的非线性稳定性 总被引:1,自引:0,他引:1
本文讨论了一类延迟量满足Lipschitz条件且最小Lipschitz常数小于 1的非线性变延迟微分方程初值问题 ,得到了带线性插值的单支θ方法的非线性稳定性结果 相似文献
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本讨论非线性变延迟微分方程隐式Euler法的渐近稳定性。我们证明,在方程真解渐近稳定的条件下,隐式Euler法也是渐近稳定的。 相似文献
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§1. IntroductionThispaperisconcernedwiththeasymptoticbehavioroftheoscillatorysolutionsofnonlin-earforcedneutraldelaydifferentialequationsoftheform[x(t)-∑mi=1pi(t)x(t-τi)]′ ∑nj=1qj(t)f(x(t-σj))=r(t), t≥t0,(1)wherepi,qj,r∈C([t0,∞),R),τi,σj≥0,i=1,2,…,m;j=1,2,…,n,f∈C(R,R),xf(x)>0forx≠0.Whenpi(t)≡0,i=1,2,…,m,Eq.(1)reducestox(t) ∑nj=1qj(t)f(x(t-σj))=r(t), t≥t0,(2)whoseasymptoticbehaviorofallsolutionshasbeenstudiedinJ.R.Yan[5].Whenr(t)≡0,f(x)≡xandm=n=1,Eq.(1)reducesto[… 相似文献