PERIODIC SOLUTIONS OF DAMPED DUFFING-TYPE EQUATIONS WITH SINGULARITY

被引：0

作者：

Li, Shengjun ^{[1
,2
]}

Liao, Fang-Fang ^{[3
]}

Zhu, Hailong ^{[4
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Hainan Univ, Coll Informat Sci & Technol, Haikou 570228, Peoples R China

[3] Nanjing Coll Informat Technol, Dept Qual Educ, Nanjing 210046, Jiangsu, Peoples R China

[4] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Peoples R China

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2017年 / 18卷 / 01期

基金：

中国国家自然科学基金;

关键词：

periodic solution; singular equations; Mawhin's continuation theorem; 2ND-ORDER DIFFERENTIAL-EQUATIONS; BOUNDARY-VALUE PROBLEM; FIXED-POINT THEOREM; EXISTENCE; SYSTEMS; MULTIPLICITY;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a second order equation of Duffing type. By applying Mawhin's continuation theorem and a relationship between the periodic and the Dirichlet boundary value problems for second order ordinary differential equations, we prove that the given equation has at least one positive periodic solution when the singular forces exhibits certain some strong force condition near the origin and with some semilinear growth near infinity. Recent results in the literature are generalized and complemented.

引用

页码：8 / 16

页数：9

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