Asymptotics for Solutions of Linear Differential Equations Having Turning Points with Applications

Describes asymptotics that are built for the solutions $y_j(x,\lambda)$, $y_j^{(k)}(0,\lambda)=\delta_{j\,n-k}$, $0\le j,k+1\le n$ of the equation $L(y)=\lambda p(x)y,\quad x\in [0,1],$ where $L(y)$ is a linear differential operator of whatever order $n\ge 2$ and $p(x)$ is assumed to possess a finite number of turning points.