Periodic solutions for a neutral nonlinear dynamical equation on a time scale
Periodic solutions for a neutral nonlinear dynamical equation on a time scale
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DOI：
10.1016/j.jmaa.2006.01.063
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发表时间：
2006-07
影响因子：
1.3
通讯作者：
E. Kaufmann;Y. Raffoul
中科院分区：
文献类型：
--
作者：
E. Kaufmann;Y. Raffoul
设T是周期时间标度。利用Krasnosel’skii的不动点定理，证明了时滞非线性中立型动力系统具有周期解。我们假设，当T=R时，k是一个固定常数，当T≠R时，k是周期T的倍数。在一个稍微严格一点的不等式下，我们用收缩映射原理证明了周期解是唯一的。
Let T be a periodic time scale. We use a fixed point theorem due to Krasnosel'skiĭ to show that the nonlinear neutral dynamic system with delay has a periodic solution. We assume that k is a fixed constant if T=R and is a multiple of the period of T if T≠R. Under a slightly more stringent inequality we show that the periodic solution is unique using the contraction mapping principle.