期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Oscillatory Properties for Higher-order Nonlinear Neutral Equations
摘要/Abstract
摘要:
研究了一类具连续分布滞量的高阶非线性中立型方程{a(t)[x(t)+∑mi=1ci(t)x(τi(t))](n-1)}′+∫abq(t,ξ)f(x(g(t,ξ)))dσ(ξ)=0的振动性,利用一般的Riccati变换和完全平方技术,通过引进参数函数H(t,s),并在减弱H(t,s)的条件下,获得了方程更一般性的振动准则,所得结论改进并推广了已知文献中的部分结果.
Abstract:
Oscillation theorems of higher-order nonlinear neutral equations with continuous distributed delay of the form {a(t)[x(t)+∑mi=1ci(t)x(τi(t))](n-1)}′+∫abq(t,ξ)f(x(g(t,ξ)))dσ(ξ)=0 are investigated.By using the generalized Riccati transformation and the integral averaging technique,and by introducing the parameter functions,some generalized oscillation criteria of the equation are obtained under the weak conditions,which improve and extend some known results in the literature.
关键词
关键词:
高阶非线性中立型方程
;
振动性
;
连续分布时滞
;
Riccati变换