New results for Brillouin electron beam focusing system

Boundary Value Problems

Zhibo Cheng¹  Shaowen Yao¹ 

[1] School of Mathematics and Information Science, Henan Polytechnic University;

关键词: Brillouin electron beam focusing system;    positive periodic solution;    singular;   

DOI  :  10.1186/s13661-017-0800-2

来源: DOAJ

【 摘 要 】

Abstract An experimental conjecture on the existence of positive periodic solutions for the Brillouin electron beam focusing system x ″ + a ( 1 + cos 2 t ) x = 1 x $x''+a(1+\cos 2t)x=\frac{1}{x}$ for a ∈ ( 0 , 1 2 ) $a\in(0,\frac{1}{2})$ is proved by applications of the Manasevich-Mawhin theorem.

【 授权许可】

Unknown