Open AccessAn ordinary differential equation arises in plane curve evolution
Author(s) -
Yung-Jen Lin Guo
Publication year - 2000
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.31.2000.384
Subject(s) - mathematics , ordinary differential equation , exact differential equation , bernoulli differential equation , mathematical analysis , plane (geometry) , differential equation , geometry
Under some conditions on $ f$, we prove that any nontrivial positive solution of the ordinary differential equation $ u''+f(u)=0$ in $ {f R}$ is periodic