International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 3, Pages 541-548
doi:10.1155/S0161171284000600

On the asymptotic series solution of some higher order linear differential equations at turning points

Abstract

The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of second-order “wave type” differential equations at turning points. The formalism also applies to higher order linear differential equations, as we make explicit here illustrating with some 4th order equations of physical significance.