Construction of Asymptotic Formulas for Solutions of One Differential Problem with a Singular Coefficient.

Autor: Lomov, I. S.
Zdroj: Lobachevskii Journal of Mathematics; Aug2023, Vol. 44 Issue 8, p3430-3437, 8p
Abstrakt: The first boundary value problem for a second–order differential operator with a singular potential on a segment with conjugation conditions at an interior point of the segment is studied. For the solution of the problem with a parameter, asymptotic formulae and estimates are obtained on each of the segments of smoothness. A similar formula is obtained for the solution of the associated problem. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index