TY - JOUR AU - Guo, Yung-Jen Lin PY - 2000/12/31 Y2 - 2024/03/29 TI - An ordinary differential equation arises in plane curve evolution JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 31 IS - 4 SE - Papers DO - 10.5556/j.tkjm.31.2000.384 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/384 SP - 273-278 AB - Under some conditions on $ f$, we prove that any nontrivial positive solution of the ordinary differential equation $ u''+f(u)=0$ in $ {\bf R}$ is periodic. ER -