Estimates for error functions of asymptotic solutions of ordinary linear differential equations
The author establishes asymptotic representations for solutions of ordinary linear differential equations depending on a parameter. The coefficients of the equations are assumed to be unbounded near the singular point \(t=0\). Some of the theorems estimate the difference between exact and asymptotic solutions while others describe the construction of asymptotic solutions. Applications are given to equations of mathematical physics (e.g. the Schrödinger equation and the Chaplygin equation).
scientific article; zbMATH DE number 1043211