On the Asymptotic Behavior of Solutions of Odd-Order Differential Equations with Oscillating Coefficients
Ya. T. Sultanaev, A. R. Sagitova, B. I. Mardanov · Differential Equations · 2022
We study the asymptotic behavior of solutions of an ordinary singular differential equation of arbitrary odd order. The potential in the equation can be either a rapidly oscillating function or a distribution. With the help of special quasiderivatives, the equation is reduced to a system of first-order differential equations, which is then reduced to $$L $$ -diagonal form by a successive application of Hausdorff transformations.