Study of the Asymptotic Properties of the Solution
to a Problem with a Parameter for the Sturm–Liouville Operator with a Singular
Potential
摘要
Abstract
The Sturm–Liouville operator with a singular potential is defined on an interval of the realline. Transmission conditions are specified at an interior point of the interval. The operatorpotential may have a nonintegrable singularity. For the strong solution of the Cauchy problem foran equation with a parameter, asymptotic formulas and estimates are obtained on each of thesolution smoothness intervals.