In this paper, we study the differential equation with the periodic boundary value
![$$\displaylines{
u''(t)=f(t, u(t), u'(t)),\quad t\in [0, 2\pi]\cr
u(0)=u(2\pi), \quad u'(0)=u'(2\pi).
}$$](gifs/aa.gif)
The existence of solutions to the periodic boundary problem above with appropriate conditions is proved by using an upper and lower solution method.
Haiyin Gao, Shiyou Weng, Daqing Jiang, Xuezhang Hou
Abstract:
In this paper, we study the differential equation with the periodic
boundary value
The existence of solutions to the periodic boundary problem above
with appropriate conditions is proved by using an upper and lower
solution method.
Submitted November 7, 2005. Published February 28, 2006.
Math Subject Classifications: 34B15, 34B16.
Key Words: Periodic boundary value; existence; upper and lower solutions.
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Haiyin Gao School of Mathematics and Statistics Northeast Normal University Changchun 130024, China email: gaohaiyinhealthy@yahoo.com.cn |
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Shiyou Weng Applied Science College Changchun University Jilin 130022, China email: wengshiyou2001@yahoo.com.cn |
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Daqing Jiang School of Mathematics and Statistics Northeast Normal University Changchun 130024, China email: daqingjiang@vip.163.com |
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Xuezhang Hou Mathematics Department, Towson University Baltimore, MD 21252, USA email: xhou@towson.edu |
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