Positive periodic solution for Brillouin electron beam focusing system

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

An experimental conjecture on the existence of positive periodic solutions for the Brillouin electron beam focusing system x"+a(1+cos 2t)x = 1/x for 0 < a < 1 is proved, using a topological degree theorem by Mawhin.

Details

Original languageEnglish
Pages (from-to)385-392
Number of pages8
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume16
Issue number1
Publication statusPublished - Jul 2011
Peer-reviewedYes

External IDs

ORCID /0000-0003-0967-6747/work/213148699

Keywords

Keywords

  • Brillouin electron beam focusing system, Liénard equation, Singularity