Asymptotics of the system of solutions of a general differential equation with parameter

• Date: 1996
• Main Authors: Rykhlov, V. S., Рыхлов, В. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5367
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider annth-order differential equation $$a_0 (x)y^{(n)} (x) + a_1 (x)y^{(n - 1)} (x) + ... + a_n (x)y(x) = \lambda y(x)$$ with parameter λ ∈ ℂ on a finite interval [a,b]. Under the conditions that \(j = \overline {1,n} \) anda 0 (x) is an absolutely continuous function which does not tu...