SUBHARMONIC SOLUTIONS FOR NONLINEAR SECOND ORDER EQUATIONS IN PRESENCE OF LOWER AND UPPER SOLUTIONS

被引：22

作者：

Boscaggin, Alberto ^{[1
]}

Zanolin, Fabio ^{[2
]}

机构：

[1] SISSA ISAS, Int Sch Adv Studies, I-34136 Trieste, Italy

[2] Univ Udine, Dept Math & Comp Sci, I-33100 Udine, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 01期

关键词：

Periodic solutions; subharmonic solutions; Poincare-Birkhoff twist theorem; lower and upper solutions; parameter dependent equations; PLANAR HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS; DIFFERENTIAL-EQUATIONS; MULTIPLICITY RESULT; ROTATION NUMBERS; CONTINUATION; OSCILLATIONS; THEOREM;

D O I：

10.3934/dcds.2013.33.89

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the problem of existence and multiplicity of subharmonic solutions for a second order nonlinear ODE in presence of lower and upper solutions. We show how such additional information can be used to obtain more precise multiplicity results. Applications are given to pendulum type equations and to Ambrosetti-Prodi results for parameter dependent equations.

引用

页码：89 / 110

页数：22

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