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.

引用

页数：10

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