Asymptotics of Solutions of the Sturm–Liouville Equation with Respect to a Parameter

• Date: 2001
• Main Authors: Gomilko, A. M., Pivovarchik, V. N., Гомилко, А. М., Пивоварчик, В. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4297
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

On a finite segment [0, l], we consider the differential equation $$\left( {a\left( x \right)y\prime \left( x \right)} \right)\prime + \left[ {{\mu \rho }_{\text{1}} \left( x \right) + {\rho }_{2} \left( x \right)} \right]y\left( x \right) = 0$$ with a parameter μ ∈ C. In the case where a(x), ρ(...