一类非线性中立型微分方程的振动定理

刘春潮; 李永昆

刘春潮, 李永昆. 一类非线性中立型微分方程的振动定理[J]. 云南大学学报(自然科学版), 2002, 24(2): 88-92.

引用本文:

刘春潮, 李永昆. 一类非线性中立型微分方程的振动定理[J]. 云南大学学报(自然科学版), 2002, 24(2): 88-92.

LIU Chun-chao, LI Yong-kun. Oscillation Theorems for Certain Nonlinear Neutral Functional Differential Equations[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(2): 88-92.

Citation:

LIU Chun-chao, LI Yong-kun. Oscillation Theorems for Certain Nonlinear Neutral Functional Differential Equations[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(2): 88-92.

一类非线性中立型微分方程的振动定理

Oscillation Theorems for Certain Nonlinear Neutral Functional Differential Equations

摘要

摘要: 一类非线性混合中立型泛函微分方程(dn/dtn)(x(t)±ax(t-τ)bx(t +τ))(q(t)f(x(t-ρ))+p(t)g(x(t+σ)))=0,被讨论,得到了各种解的振动性的充分条件.

Abstract: Some sufficient conditions are obtained for the oscillation of all solutions to nonlinear neutral functional equations of mixed type of the form (dn/dtn)(x(t)±ax(t-τ)bx(t +τ))(q(t)f(x(t-ρ))+p(t)g(x(t+σ)))=0, where p and q are periodic functions.

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