%0 Journal Article
%T 二阶奇异耦合系统正周期解的存在性<br>Existence of positive periodic solutions for second order singular coupled systems
%A 吴成明
%J 山东大学学报（理学版）
%D 2015
%R 10.6040/j.issn.1671-9352.0.2014.578
%X 摘要： 运用Schauder不动点定理研究了二阶非自治奇异耦合系统 正周期解的存在性,其中ai, ei∈L1(R/TZ, R), fi∈Car(R/TZ×(0,∞), R),即fi|[0,T]:[0,T]×(0,∞)→R是L1-Carathéodory函数(i=1, 2),并且f1, f2分别在y=0, x=0处允许有奇性。在扰动项积分值符号同正、同负和异号的情况下,分别获得了该奇异耦合系统存在正周期解的条件。<br>Abstract: Using Schauder's fixed point theorem, we study the existence of positive periodic solutions for second order non-autonomous singular coupled systems where ai, ei∈L1(R/TZ, R), fi∈Car(R/TZ×(0,∞), R), that is, fi|[0,T]:[0,T]×(0,∞)→R are L1-Carathéodory functions(i=1, 2), and f1, f2 may be singular at y=0, x=0, respectively. The existence of positive periodic solutions for the singular coupled systems are obtained under the conditions that the signs of integral disturbance terms are positive, or negative, or different
%K 正周期解
%K Schauder不动点定理
%K 弱奇异性
%K 奇异耦合系统
%K &lt
%K br&gt
%K positive periodic solutions
%K Schauder's fixed point theorem
%K weak singularity
%K singular coupled system
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.578