Estimation of the solutions of the Sturm-Liouville equation

• Date: 1994
• Main Authors: Levin, B. Ya., Mirochnik, L. Ya., Левин, Б. Я., Мирочник, Л. Я.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5760
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Exact estimates are presented for the solutions of the problem $\ddot y + \lambda ^2 p(t)y = 0, y(0) = 0, \dot y(0) = 1$ with $p(t)$ satisfying one of the following conditions: $$(i) |p(t)| \leqslant M< \infty ; (ii) 0< \omega _1 \leqslant p(t) \leqslant \omega _2< \infty...