Measure functional differential equations and functional dynamic equations on time scales
Measure functional differential equations and functional dynamic equations on time scales
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DOI：
10.1016/j.jde.2011.11.005
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发表时间：
2012-03
影响因子：
2.4
通讯作者：
M. Federson;J. Mesquita;A. Slavík
中科院分区：
文献类型：
--
作者：
M. Federson;J. Mesquita;A. Slavík
我们研究了度量泛函微分方程，阐明了它们与广义常微分方程间的关系。我们证明了时间尺度上的泛函动力学方程是度量泛函微分方程的一个特例。对于这两类方程，我们得到了解的存在唯一性、连续相依性和周期平均的结果。
We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales represent a special case of measure functional differential equations. For both types of equations, we obtain results on the existence and uniqueness of solutions, continuous dependence, and periodic averaging.