نتایج جستجو برای: relation

تعداد نتایج: 294636  

Journal: :Int. J. Math. Mathematical Sciences 2004
George L. Karakostas Stevo Stevic

Journal: :Appl. Math. Lett. 2011
Chenghui Zhang Tongxing Li Bo Sun E. Thandapani

In this paper, sufficient conditions are established for the oscillatory and asymptotic behavior of higher–order half–linear delay difference equation of the form ∆(pn(∆ (xn + qnxτn)) ) + rnx β σn = 0, n ≥ n0, where it is assumed that ∑∞ s=n0 1/p 1/α s < ∞. The main theorem improves some existing results in the literature. An example is provided to demonstrate the effectiveness of the main result.

2004
Sui Sun Cheng Yi-Zhong Lin

Necessary and sufficient conditions for the asymptotic stability of a class of difference equations with three parameters are obtained. These conditions are expressed in terms of subsets of the parameter space.

Journal: :Theor. Comput. Sci. 2009
Zuzana Masáková Edita Pelantová

In this paper we put into relation the index of an infinite aperiodic word and its recurrence function. With the use of this relation, we then give a new characterization of Sturmian words. As a byproduct, we give a new proof of theorem of Damanik and Lenz describing the index of a Sturmian word in terms of the continued fraction expansion of its slope.

Journal: :Computers & Mathematics with Applications 2012
Jaroslaw Morchalo Malgorzata Migda

We give sufficient conditions for the boundedness of all solutions of some classes of systems of difference equations with delays, by comparison of their norms with the solution of certain auxiliary scalar difference equations.

Journal: :Int. J. Math. Mathematical Sciences 2005
Theeradach Kaewong Yongwimon Lenbury Piyapong Niamsup

We obtain necessary and sufficient conditions for the asymptotic stability of the linear delay difference equation x n+1 + p N j=1 x n−k+(j−1)l = 0, where n = 0,1,2,..., p is a real number, and k, l, and N are positive integers such that k > (N − 1)l.

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