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高阶非线性不稳定型差分方程的振动性(英文) 被引量:2

Oscillation of Higher Order Nonlinear Unstable Type Difference Equations
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摘要 考虑高阶非线性不稳定型差分方程k|Δ(anΔm-1(yn+gnyn-τ))|αsgnΔ(anΔm-1(yn+gnyn-τ))=∑i=1q(n,i)f(yσ(n,i))得出此方程有界解振动的若干判断准则. In this paper, the authors consider the oscillation for m-order self-conjugate unstable difference equation |△(αn△^m-1(yn+gnyn-t))|α^sgn△(αn△^m-1(yn+gnyn-t))=∑^k i=1q(n,i)f(yσ(n,i)) Some oscillatory criteria for all bounded solutions of the equation are given.
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第1期30-33,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 河北省自然科学基金资助项目(103141) 河北师范大学重点基金资助项目(1301808)
关键词 自共轭差分方程 振动 不稳定型 self-conjugate difference equations oscillation unstable type
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