A general method for the existence of periodic solutions of differential systems in the plane

被引：23
|
作者：
Fonda, Alessandro [1 ]
Sfecci, Andrea [2 ]
机构：
[1] Univ Trieste, Dipartimento Matemat & Informat, I-34127 Trieste, Italy
[2] SISSA Int Sch Adv Studies, I-34136 Trieste, Italy
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 02期
关键词：
Periodic solutions; Nonlinear dynamics; LANDESMAN-LAZER CONDITIONS; BOUNDARY-VALUE-PROBLEMS; ASYMMETRIC NONLINEARITIES; EQUATIONS;
D O I：
10.1016/j.jde.2011.08.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose a general method to prove the existence of periodic solutions for planar systems of ordinary differential equations, which can be used in many different circumstances. Applications are given to some nonresonant cases, even for systems with superlinear growth in some direction, or with a singularity. Systems "at resonance" are also considered, provided a Landesman-Lazer type of condition is assumed. (C) 2011 Elsevier Inc. All rights reserved.
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页码：1369 / 1391
页数：23
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