中山大学学报（自然科学版）2009，Vol.48Issue(6)：23-26,4.
二阶非线性中立型时标动态方程非振动解的存在性
Existence of Nonoscillatory Solutions to Second-order Nonlinear Neutral Dynamic Equations on Time Scales
摘要
Abstract
By employing Krasnoselskii's fixed point theorem, the existence of nonoscillatory solutions of the second-order nonlinear neutral dynamic equations on time scales [r(t)(x(t)+p(t)x(t-τ))~Δ]~Δ+ ∑_(i=1)~mQ_i(t)f_i(x(t-σ_i)) = 0,t∈T is established. The obtained results cover those for second-order nonlinear neutral differential equations and provide new crtteria for second-order nonlinear neutral differential equations.关键词
二阶非线性时标动态方程/非振动解/存在性/中立型/Krasnoselskii不动点定理Key words
second-order nonlinear dynamic equations on time scales/ nonoscillatory solutions/ existence/ neutral/ Krasnoselskii's fixed point theorem分类
数学引用本文复制引用
高瑾,程世辉,王其如..二阶非线性中立型时标动态方程非振动解的存在性[J].中山大学学报（自然科学版）,2009,48(6):23-26,4.基金项目
国家自然科学基金资助项目(10971231,10571183) （10971231,10571183）
广东省自然科学基金资助项目(8151027501000053) （8151027501000053）
