Positive Periodic Solutions for Second-Order Ordinary Differential Equations with Derivative Terms and Singularity in Nonlinearities
2012 ◽
Vol 2012
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pp. 1-15
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Keyword(s):
The existence results of positiveω-periodic solutions are obtained for the second-order ordinary differential equationu′′(t)=f(t,u(t),u'(t)),t∈ℝwhere,f:ℝ×(0,∞)×ℝ→ℝis a continuous function, which isω-periodic intandf(t,u,v)may be singular atu=0. The discussion is based on the fixed point index theory in cones.
Keyword(s):
2010 ◽
Vol 2010
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pp. 1-14
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2021 ◽
Vol 0
(0)
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Keyword(s):