2) multiple periodic solutions
多重周期解
1.
By means of this newly developed Zp index theory and the coupled differential system method developed by Kaplan J L and Yorke J A in 1974,some sufficient conditions on the existence of multiple periodic solutions for a class of delay differential equations are obtained.
对于某些非线性系统,该指标可以用来讨论其多重周期解和次调和解的存在性。
2.
Thesis mainly concerns the applications and generalizations of critical point theory to investigating periodic solutions,multiple periodic solutions and subharmonic solutions for nonlinear differential equations with deviating arguments.
本篇博士论文主要应用和推广临界点理论来研究含有偏差变元非线性微分方程的周期解、多重周期解与次调和解的存在性问题。
3.
By means of variational structure and Z2 group index theory,we obtain the existence of multiple periodic solutions to second-order functional differential equations(a(t)x′(t-τ))′-b(t)x(t)+λf(t,x(t),x(t-τ),x(t-2τ))=0.
利用变分原理和Z2不变群指标研究二阶泛函微分方程:(a(t)x′(t-τ))′-b(t)x(t)+fλ(t,x(t),x(t-)τ,x(t-2)τ)=0的多重周期解,得出相关结果。
3) Multi-humped periodic solution
多峰周期解
4) multi-order envelope periodic solution
多级包络周期解
1.
The multi-order envelope periodic solutions for Zakharov equation;
Zakharov方程的多级包络周期解
5) regular polygon periodic solutions
正多边形周期解
6) Multiple positive periodic solution
多个正周期解
补充资料:庞加莱周期解
见周期解理论。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条