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一类非线性时滞函数方程的振动准则
引用本文:吴英柱.一类非线性时滞函数方程的振动准则[J].茂名学院学报,2013(1):55-57,90.
作者姓名:吴英柱
作者单位:广东石油化工学院理学院
摘    要:主要研究非线性时滞高阶函数方程x(t—τ)=P(t)z(t)+^m∑i=1Qi(t)^s∏j=1|x(t-(κj+i)τ)|^aj signx(t-(t-(κj+i)τ)的解的振动性,利用迭代法,得到该方程解振动的若干个充分条件。

关 键 词:函数方程  非线性  变系数  振动准则

Oscillatory Criteria of A Class Nonlinear Delay Functional Equations
WU Ying-zhu.Oscillatory Criteria of A Class Nonlinear Delay Functional Equations[J].Journal of Maoming College,2013(1):55-57,90.
Authors:WU Ying-zhu
Institution:WU Ying-zhu(School of Science,Guangdong University of Petrochemical Technology,Maoming 525000,China)
Abstract:In this paper, we study oscillation of nonlinear delay functional equation of higher order with variable coefficient of the fromx(t-τ)=P(t)z(t)+^m∑i=1Qi(t)^s∏j=1|x(t-(κj+i)τ)|^aj signx(t-(t-(κj+i)τ) sign. Some sufficient conditions of the continuous arguments i=1 j=l are obtained by the iterative method
Keywords:functional equations  nonlinear  variable coefficient  oscillation criteria  
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