Asymptotic behavior of solutions of second order nonlinear difference equations

Kodai Mathematical Journal

Fanwei Meng¹  Jibao Li¹  Jizhong Wang¹ 

关键词: discrete inequality;    difference equation;    asymptotic behavior of solutions;   

DOI  :  10.2996/kmj/1138043599

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(5)In this paper, we study the asymptotic behavior of the second order difference equation(*)   Δ(r(n)Δx(n))+f(n, x(n))=0.we obtain some sufficient conditions which ensure that all the solutions of (*) are bounded, and also obtain some conditions which guarantee that for every solution x(n) of (*) satisfies |x(n)|=O(R(n, n0)) as n→∞, where R(n, s)=∑\limitsk=sn−1\frac{1}{r(k)}.

【 授权许可】

Unknown