POSITIVE PERIODIC SOLUTIONS OF FIRST AND SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
POSITIVE PERIODIC SOLUTIONS OF FIRST AND SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
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DOI：
10.1142/s025295990400038x
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发表时间：
2004-07
期刊：
影响因子：
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通讯作者：
Yongxiang Li
中科院分区：
文献类型：
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作者：
Yongxiang Li
本文得到了二阶常微分方程-u“（t）=f（t，u（t））（t∈ N）和一阶常微分方程u”（t）=f（t，u（t））（t∈ N）的正ω-周期解的存在性结果，其中f：N × N +→ N是关于t的ω-周期连续函数.讨论是基于锥上的不动点指数理论。
In this paper the existence results of positive ω-periodic solutions are obtained for second order ordinary differential equation -u''(t)=f(t,u(t)) (t∈ℝ), and also for first order ordinary differential equation u'(t)=f(t,u(t)) (t∈ℝ), where f:ℝ×ℝ+→ℝ is a continuous function which is ω-periodic in t. The discussion is based on the fixed point index theory in cones.