Periodic solution generated by impulses for singular differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:404

Article

Sun, Juntao¹  Chu, Jifeng²  Chen, Haibo³ 

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

[2] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[3] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

关键词: Positive periodic solution;    Singular differential equations;    Impulses;    Variational methods;   

DOI  :  10.1016/j.jmaa.2013.03.036

来源: Elsevier

【 摘 要 】

In this paper, we study the existence of a positive periodic solution for second-order singular differential equations with impulsive conditions. The proof is based on the mountain-pass theorem. We show that this positive periodic solution is generated by impulses. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free