共查询到20条相似文献,搜索用时 12 毫秒
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m阶中立型泛函差分方程的振动性准则 总被引:3,自引:0,他引:3
本文了研究m阶混合型中立泛函差分方程:△m(xn+cxn-h+c*xn+h*)=k(qxn-g+Pxn+g*),k=±1.这里C,C*,p,q是实数,且h,h*,g和g*是正整数,并且对于上述方程建立了一些新的振动性准则.本文结果改进了文[1]中的所有定理,并回答了由 Grace S.R.提出的一个公开问题. 相似文献
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二阶非线性中立型微分方程的振动性 总被引:5,自引:0,他引:5
研究中立型微分方程 [r(t) (y(t) p(t)y(t-τ) )′]′ q(t)f[y(t-σ) ]=0的振动性 .改进并推广了几个已有结果 . 相似文献
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Ch.G. Philos I.K. Purnaras† I.P. Stavroulakis‡ 《Journal of Difference Equations and Applications》2013,19(4):419-435
The most important result of this paper is a new oscillation criterion for delay difference equations. This criterion constitutes a substantial improvement of the one by Ladas et al. [J. Appl. Math. Simulation 2 (1989), 101–111] and should be looked upon as the discrete analogue of a well-known oscillation criterion for delay differential equations. 相似文献
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本文通过反例说明《偶数阶中立型微分方程的线性化振动的一个注记》一文中主要定理的错误(参见文[2]). 相似文献
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该文利用一个严格集压缩不动点定理,得到了如下形式的一类时标上具状态依赖时滞的中立型泛函微分方程周期正解存在性的充分条件x~Δ(t)=x(t)[r(t)-a(t)x(t)-sum from j=1 to n a_j(t)x(t-Υ_j(t,x(t)))-sum from j=1 to n c_j(t)x~Δ(t-σ_j(t,x(t)))],其中r,a,a_j,c_j∈C(T,R~+)(j=1,2,…,n)是ω-周期函数,Υ_j,σ_j∈C(T×R,T)(j=1,2,…,n)分别是其第一变元的ω-周期函数. 相似文献
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运用广义Riccati变换给出时标上二阶非线性中立型动力学方程振动的充分条件,进一步研究了具扰动项的动力学方程解的性态.所得结论推广和改进了已知文献的部分结果. 相似文献
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本文首先在Lipschiz条件和线性增长条件下,通过Picard迭代法研究了带跳的无限时滞中立型随机微分方程解的存在唯一性,接着对这这类方程的Picard迭代解与精确解的误差进行估计,最后讨论了解的矩估计。 相似文献
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R. Hilscher 《Applied Mathematics and Optimization》2001,43(2):129-146
The principal aim of this paper is to state and prove the so-called Reid roundabout theorem for the symplectic dynamic system
(S) z
Δ
= \cal S
t
z on an arbitrary time scale \Bbb T , so that the well known case of differential linear Hamiltonian systems ( \Bbb T = \Bbb R ) and the recently developed case of discrete symplectic systems ( \Bbb T = \Bbb Z ) are unified. We list conditions which are equivalent to the positivity of the quadratic functional associated with (S),
e.g. disconjugacy (in terms of no focal points of a conjoined basis) of (S), no generalized zeros for vector solutions of
(S), and the existence of a solution to the corresponding Riccati matrix equation. A certain normality assumption is employed.
The result requires treatment of the quadratic functionals both with general and separated boundary conditions.
Accepted 28 August 2000. Online publication 26 February 2001. 相似文献
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M. Benchohra S.K. Ntouyas‡ A. Ouahab 《Journal of Difference Equations and Applications》2013,19(6):541-548
In this paper, the nonlinear alternative of Leray-Schauder type is used to investigate the existence of solutions for first order impulsive dynamic equations on time scales. 相似文献
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研究一类二阶中立型双曲偏泛函微分方程解的振动性质,获得了在齐次Dirichlet,Neumann和Robin边界条件下,解振动或非振动的充分条件. 相似文献
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