关于高阶泛函微分方程解的极小周期
On minimal periods of solutions of higher order functional differential equations
摘要:
我们证明了Lipschitz泛函微分方程解的极小周期问题与线性泛函微分方程周期问题的唯一可解性密切相关.获得了具有不同Lipschitz非线性度的高阶泛函微分方程非常解的最小周期的精确界。
英文摘要:
We show that a problem on minimal periods of solutions of Lipschitz functional differential equations is closely related to the unique solvability of the periodic problem for linear functional differential equations. Sharp bounds for minimal periods of non-constant solutions of higher order functional differential equations with different Lipschitz nonlinearities are obtained.
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