On the regular solution of a second order delay differential equation
On the regular solution of a second order delay differential equation
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DOI：
10.1007/s00033-002-8162-7
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发表时间：
2002-05
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影响因子：
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通讯作者：
R. Yuan
中科院分区：
文献类型：
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作者：
R. Yuan
本文研究了一类二阶时滞微分方程的概周期解和拟周期解的存在性。作为推论，本文证明了当B < 0时，该方程对一个4周期函数f（t）有4周期解，这与B= 0的情况不同.这一现象是由分段常数变元引起的，并说明了常微分方程与具有分段常数变元的时滞方程之间的一个重要区别。将所得结果推广到非线性方程。
In this paper, we study the existence of almost and quasi periodic solutions to a class of second order delay differential equations. As a corollary, it is shown that the equationcan possess a 4-periodic solution for a 4-periodic functionf(t)whenorb< 0, which is different from the case:b= 0. This phenomena is due to the piecewise constant argument and illustrates a crucial difference between ordinary differential equations and delay equations with piecewise constant argument. The results are extended to nonlinear equations.