Unbounded solutions of a class of planar systems

被引：3
|
作者：
Yang, XJ [1 ]
机构：
[1] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 296卷 / 02期
关键词：
periodic solutions; planar system; Fucik spectrum;
D O I：
10.1016/j.jmaa.2004.04.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the unbounded solutions for the following nonlinear planar system: x' = a(+)y(+) - a(-)y(-) + f(t), y' = -b(+)x(+) + b(-)x(-) + g(t), is discussed, where a(+/-), b(+/-) are positive constants satisfying 1/roota(+)b(+) + 1/roota(+)b(-) + 1/roota(-)b(+) + 1/roota(-)b(-) = 4/omega, x(+/-) = max{+/-x, 0}, y(+/-) = max{+/-y, 0}, omega is an element of R+ \ Q, f (t), g(t) is an element of L-infinity[0, 2pi] are 2pi-periodic functions. (C) 2004 Elsevier Inc. All rights reserved.
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页码：708 / 718
页数：11
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