摘要
研究一阶一般自迭代泛函微分方程初值问题周期解的存在性及延拓。通过构造函数集上的连续自映射 ,利用 Schauder不动点定理 ,证明方程 ( E)具有周期解。在给定条件下 ,一般自迭代泛函微分方程( E)存在过二维平面上任意点的 2 T周期解。
Aim To study the existence and continuation of periodic solutions to generic functional differential iterative equation,which satisfies a initial condition.Methods According to Schander’s fixed points theorem,several continuous self maps in sets of functions were created,the equation with periodic solutions were proved.Results and Conclusion The equation has 2T periodic solutions across any point in the R 2 on the condition and the solution can be extended to R.
出处
《承德石油高等专科学校学报》
CAS
2000年第2期4-6,共3页
Journal of Chengde Petroleum College
基金
国家自然科学基金资助课题!(基金号 :1 9871 0 0 5)
