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Zbl 1073.34041
Li, Yongxiang
Positive periodic solutions of first and second order ordinary differential equations.
(English)
[J] Chin. Ann. Math., Ser. B 25, No. 3, 413-420 (2004). ISSN 0252-9599; ISSN 1860-6261/e

The paper deals with the existence of positive $\omega$-periodic solutions of the second-order differential equation $$-u^{\prime \prime}(t) = f(t,u(t)), \quad t \in \bbfR,$$ as well as first-order ordinary differential equations. The main tool is the fixed-point index theory in cones.
[Emil Minchev (Tokyo)]
MSC 2000:
*34C25 Periodic solutions of ODE
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
34B18 Positive solutions of nonlinear boundary value problems

Keywords: positive periodic solution; cone; fixed-point index

Cited in: Zbl 1127.34325

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