Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type

被引：5
|
作者：
Migda, Janusz [1 ]
Migda, Malgorzata [2 ]
Nockowska-Rosiak, Magdalena [3 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Umultowska 87, PL-61614 Poznan, Poland
[2] Poznan Univ Tech, Inst Math, Piotrowo 3A, PL-60965 Poznan, Poland
[3] Lodz Univ Technol, Inst Math, Ul Wolczanska 215, PL-90924 Lodz, Poland
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2018年 / 2018卷
关键词：
BEHAVIOR; STABILITY; BOUNDEDNESS; EXISTENCE;
D O I：
10.1155/2018/2368694
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the discrete Volterra type equation of the form Delta(r(n)Delta x(n)) = b(n) + Sigma(n)(k=1) K(n, k) f (x(k)). We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we study the asymptotic behavior of solutions. We use o(n(s)), for given nonpositive real s, as a measure of approximation.
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页数：10
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