共查询到20条相似文献,搜索用时 15 毫秒
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得到了具有多重时滞非线性差分方程x(n 1)-x(n) ∑i=1^k pi(n)fi(x(gi(n)))=0,n=0,1,2,…的每个解趋于零的充分条件。 相似文献
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《Mathematical Methods in the Applied Sciences》2018,41(9):3509-3520
In this paper, we obtain a new oscillation result for delay difference equations of the form under the assumption that corresponding homogenous equation is nonoscillatory, where τn≤n+1. It is observed that the oscillation behaviormay be altered due to presence of the delay. Extensions to forced Emden‐Fowler–type delay difference equations in the sublinear (0<α<1) and the superlinear (1<α) cases are also discussed. 相似文献
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The asymptotic and oscillatory behavior of solutions of mth order damped nonlinear difference equation of the form
where m is even, is studied. Examples are included to illustrate the results. 相似文献
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Gengping Wei 《Applied mathematics and computation》2011,217(17):7184-7190
This paper is concerned with the nonlinear neutral delay difference equation
(∗) 相似文献
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非线性时滞差分议程的全局渐近稳定性 总被引:1,自引:0,他引:1
In this paper,a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained,xn 1=xn xn-1xn-2 a/xmxm-1 xn-2 a,n=0,1…,where a∈(0,∞) and the initial values x-2,x-1,x0∈(0,∞).As a special case,a conjecture by Ladas is confirmed. 相似文献
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J. V. Manojlović 《Lithuanian Mathematical Journal》2009,49(1):71-92
We consider a class of fourth-order nonlinear difference equations of the form
where α and β are the ratios of odd positive integers, and {p
n
} and {q
n
} are positive real sequences defined for all
satisfying the condition
We classify the nonoscillatory solutions of (Ω) and establish necessary and/or sufficient conditions for the existence of
nonoscillatory solutions with specific asymptotic behavior.
Supported by Ministry of Science, Technology and Development of Republic of Serbia – Grant No. 144003. 相似文献
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Murat Adivar H. Can Koyuncuoğlu Youssef N. Raffoul 《Journal of Difference Equations and Applications》2013,19(12):1927-1939
In this paper we study the existence of periodic and asymptotically periodic solutions of a system of nonlinear Volterra difference equations with infinite delay. By means of fixed point theory, we furnish conditions that guarantee the existence of such periodic solutions. 相似文献
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建立了二阶非线性差分方程△(rn△xn-1) Pn△xn-1 qnf(xn)=0的振动准则,所得定理推广和改进了文献中的结果. 相似文献
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In this paper we use fixed point method to prove asymptotic stability results
of the zero solution of a nonlinear delay difference equation. An asymptotic
stability theorem with a sufficient condition is proved, which improves and
generalizes some results due to Raffoul (2006) \cite{r1}, Yankson (2009)
\cite{y1}, Jin and Luo (2009) \cite{jin} and Chen (2013) \cite{c} 相似文献
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R. P. Agarwal F. Karakoç A. Zafer 《Journal of Difference Equations and Applications》2013,19(6):1101-1114
By employing a difference inequality without impulses, we establish several sufficient conditions for the oscillation of solutions of a class of nonlinear impulsive partial difference equations with continuous variables. 相似文献
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Linearized oscillations in nonlinear delay difference equations 总被引:1,自引:0,他引:1
Consider the nonlinear delay difference equation
We establish a linearized oscillation result of this equation, which is the extension of the result in the paper [1].
Supported by the National Natural Science Foundation of China 相似文献
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证明了在一定条件下,具有可变时滞的非线性非自治差分方程的全局渐近稳定性可由某种线性差分方程的渐近稳定性确定,给出了这类差分方程全局渐近稳定的充分条件.作为实例,获得了具有可变时滞的离散型非自治广义Log istic方程的全局吸收性判别准则. 相似文献
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Yihong Song 《Journal of Difference Equations and Applications》2013,19(9):971-986
The existence of almost periodic solutions of nonlinear Volterra difference equations with unbounded delay is obtained by using uniform stability properties of a bounded solution. An example is also given to illustrate obtained results. 相似文献
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Some new results on the behavior of the solutions to periodic linear delay differential equations as well as to periodic linear delay difference equations are given. These results are obtained by the use of two distinct roots of the corresponding (so called) characteristic equation. 相似文献
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In this paper, the Banach fixed-point theorem is employed to establish several existence results of uncountably many bounded nonoscillatory solutions for the second order nonlinear neutral delay difference equation