Solution of a second-order Poincaré-Perron-type equation and differential equations that can be reduced to it

• Date: 2008
• Main Authors: Kruglov, V. E., Круглов, В. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3208
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The analytical solution of the second-order difference Poincare–Perron equation is presented. This enables us to construct in the explicit form a solution of the differential equation $$t^2(A_1t^2 + B_1t + C_1)u'' + t(A_2t^2 + B_2t + C_2)u' + (A_3t^2 + B_3t...