an:02113648
Zbl 1049.34107
Lukashevich, N. A.
Second order linear differential equations of Fuchsian type with four singularities
EN
Nonlinear Oscil. 4, No. 3, 308-315 (2001).
00110827
2001
j
34M35
equations of Fuchsian type; singularities
The paper deals with the second-order linear differential equation
\[
y''+p(x)y'+q(x)y = 0,
\]
where \(p(x)\) and \(q(x)\) are arbitrary analytic functions. The author proposes a change of variables to decompose the system into two subsystems: an ordinary differential equation on the central manifold and integral equations on the stable manifold.
R. K. Azimov (Andizhan)