摘要
利用Fourier级数理论和实分析不等式技巧 ,讨论了一类三阶中立型时滞差分方程 ∑3i=0aix(i) (t) + ∑mj=1∑3i=0ujix(i) (t-hj) =f(t)的周期解的存在性与唯一性 ,给出了若干新的充分判据 。
Using fourier series theory and techniques of real analysis inequality, existence and uniqueness of periodic solutions of a class of third order neutral equation with some delays: ∑3i=0a ix (i) (t)+∑mj=1∑3i=0u ji x (i) (t-h j)=f(t) are studied, some new sufficient conditions are given. Thus some previous results are extended and improved.
出处
《工程数学学报》
CSCD
北大核心
2002年第3期26-32,共7页
Chinese Journal of Engineering Mathematics
基金
江苏省自然科学基金 (1999F0 0 17M和 97A0 12G)
东南大学科学基金 (92 0 70 1110 0 )的资助 .
