共查询到17条相似文献,搜索用时 93 毫秒
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研究一类具有连续变量的三阶多时滞中立型非线性差分方程,获得该类方程有界解振动的充分条件. 相似文献
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研究了一类具有多个时滞的二阶非线性差分方程,利用数学归纳法和Lebesgue控制收敛定理得出了其有界解振动的充分必要条件及其任一解与解的差分振动的充分条件,所得结果包含和推广了已有的结果. 相似文献
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研究了一类具有连续变量的二阶中立型时滞差分方程△(2Υ)(x(t) -px(t- γ) =mΣi=1 qi(t)x(t-σi),t ≥ t0 > 0的振动性,给出了其有界解振动的几个充分条件. 相似文献
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具有变系数的二阶中立型差分方程 总被引:1,自引:0,他引:1
研究一类具有变系数的二阶中立型时滞差分方程
△τ^2[x(t)-c(t)x(t-τ)]=p(t)x(t-σ),t≥t0〉0
的解的振动性,给出了该类方程一切有界解振动的几个充分条件. 相似文献
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研究了二阶中立型变时滞差分方程Δ2(xn+pxn-l)+qnf(xσ(n))=0解的振动性,获得了该类方程全部非平凡解振动的三个定理.所得结果将二阶中立型差分方程已有的振动性的相应结论推广到了二阶中立型变时滞差分方程. 相似文献
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研究一类具有连续变量的二阶中立型时滞差分方程△r^2[x(t)-cx(t-τ)=p(t)x(t-σ)的解的振动性,给出了其有界振动的几个充分条件. 相似文献
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二阶非线性中立型时滞差分方程的振动性 总被引:3,自引:0,他引:3
研究了一类具有多个变滞量的变系数的二阶非线性中立型时滞差分方程的振动性,得到了该类方程振动及其解的一阶差分振动的充分条件,推广了现有文献中的某些结果. 相似文献
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Reeta Shukla Dubey 《Numerical Functional Analysis & Optimization》2013,34(3):286-308
In the present work, we study the approximations of solutions to the abstract neutral functional differential equations with bounded delay. We consider an associated integral equation and a sequence of approximate integral equations. We establish the existence and uniqueness of the solutions to every approximate integral equation using the fixed point arguments. We then prove the convergence of the solutions of the approximate integral equations to the solution of the associated integral equation. Next, we consider the Faedo–Galerkin approximations of the solutions and prove some convergence results. Finally, we demonstrate the application of the results established. 相似文献
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具有连续变量的多时滞二阶中立型差分方程的振动准则 总被引:12,自引:0,他引:12
本文用分析的方法研究了一类具有连续变量的多时滞二阶中立型差分方程解的振动性,给出了该类方程解振动和差分算子振动的几个充分条件. 相似文献
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David M. Bradley 《Transactions of the American Mathematical Society》2003,355(12):4985-5002
We study two classes of linear difference differential equations analogous to Euler-Cauchy ordinary differential equations, but in which multiple arguments are shifted forward or backward by fixed amounts. Special cases of these equations have arisen in diverse branches of number theory and combinatorics. They are also of use in linear control theory. Here, we study these equations in a general setting. Building on previous work going back to de Bruijn, we show how adjoint equations arise naturally in the problem of uniqueness of solutions. Exploiting the adjoint relationship in a new way leads to a significant strengthening of previous uniqueness results. Specifically, we prove here that the general Euler-Cauchy difference differential equation with advanced arguments has a unique solution (up to a multiplicative constant) in the class of functions bounded by an exponential function on the positive real line. For the closely related class of equations with retarded arguments, we focus on a corresponding class of solutions, locating and classifying the points of discontinuity. We also provide an explicit asymptotic expansion at infinity.
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In this paper we prove a result on the existence and global attractivity of solutions of a nonlinear functional integral equations with deviating arguments. The investigations are placed in the Banach space of real functions defined, continuous and bounded on the real half-axis. The main tool used in consideration is a fixed point theorem of Krasnosel’skii type. A few examples illustrating the obtained results are also included. 相似文献
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This work focuses on the asymptotic behavior of solutions for a class of neutral delay difference equations, which are discrete analogues of a generalization of J.R. Haddock’s conjecture. It is shown that every bounded solution of the equations converges to a constant. Our results improve some known results from the literature. 相似文献
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不稳定型二阶中立型方程正解的存在性与有界振动 总被引:1,自引:0,他引:1
本文研究一类不稳定型二阶中立型微分方程正解的存在性与有界振动.证明了在一定条件下不稳定型二阶中立型方程总存在无界正解,并给出了保证其方程的一切有界解都振动的充分条件,改进了文[1,2]中的有关条件. 相似文献
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A. V. Chaikovs’kyi 《Ukrainian Mathematical Journal》2011,62(10):1635-1648
We study the representation for functions of shift operator acting upon bounded sequences of elements of a Banach space. An
estimate is obtained for the bounded solution of a linear difference equation in the Banach space. For two types of differential
equations in Banach spaces, we present sufficient conditions for their bounded solutions to be limits of bounded solutions
of the corresponding difference equations and establish estimates for the rate of convergence. 相似文献