One-Signed Harmonic Solutions and Sign-Changing Subharmonic Solutions to Scalar Second Order Differential Equations

被引：0
|
作者：
Boscaggin, Alberto [1 ]
机构：
[1] SISSA, ISAS, I-34136 Trieste, Italy
来源：
ADVANCED NONLINEAR STUDIES | 2012年 / 12卷 / 03期
关键词：
Periodic solutions; Positive solutions; Poincare-Birkhoff theorem; POINCARE-BIRKHOFF THEOREM; PLANAR HAMILTONIAN-SYSTEMS; FIXED-POINT THEOREM; PERIODIC-SOLUTIONS; POSITIVE SOLUTIONS; RESONANCE; EXISTENCE; INDEX;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using a recent modified version of the Poincare-Birkhoff fixed point theorem [19], we study the existence of one-signed T-periodic solutions and sign-changing subharmonic solutions to the second order scalar ODE u" + f(t, u) = 0, being f : R x R -> R a continuous function T-periodic in the first variable and such that f(t, 0) equivalent to 0. Partial extensions of the results to a general planar Hamiltonian systems are given, as well.
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页码：445 / 463
页数：19
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