摘要
通过构造差分方程的加权伪反周期解,研究了一类含分段常变量中立型微分方程的加权伪反周期解的存在性,给出了所论方程的加权伪反周期解的存在唯一性条件。
By means of weighted pseudo anti-periodic solutions of relevant difference equations, the existence for weighted pseudo antiperiodic solutions of differential equations with piecewise constant argument is studied. The conditions of existence and uniqueness for the weighted pseudo anti-periodic solutions are presented.
出处
《中山大学学报(自然科学版)》
CAS
CSCD
北大核心
2017年第3期57-65,共9页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金(11271380,11501238)
广东省自然科学基金(2014A030313641,2016A030313119)
广东省教育厅重大项目基金(2014KZDXM070)
关键词
伪反周期解
伪反周期序列
中立型时滞方程
分段常变量
pseudo anti-periodic solutions
pseudo anti-periodic sequences
neutral delay equation
piecewise constant argument