2022
A LINEAR CONJUGATION TYPE PROBLEM FOR OPERATOR - DIFFERENTIAL EQUATION WITH TWO BOUNDARY AND ONE INTERNAL SINGULAR POINTS
Authors: Olimi Abdumanon Gaforzoda – Candidate of Physics and Mathematics Sciences, associate Professor Mathematical Analysis Department named after Professor A.Muksinov under Khujand State University named after academician B.G.Gafurov (Tajikistan Republic, Khujand), Okhunov Nozimjon Kobilovich - Senior Lecturer Mathematical Analysis Department named after Professor A. Muksinov under Khujand State University named after academician B.G.Gafurov (Tajikistan Republic, Khujand)
JOURNAL NUMBER: 4(63). YEAR OF ISSUE: 2022. LANGUAGE OF THE ARTICLE: Russian
ANNOTATION
In the article for an ordinary operator-differential equation with two boundary and one internal singular points using a well-known representation of the general solution and its inversion formulas the formulation of a linear conjugation type problem is clarified. In the four cases a sufficient condition is revealed under which the task has a single solution and this solution is in an explicit form.
KEY WORDS
ordinary operator-differential equation, boundary and internal singular points, general solution, inversion formulas, linear conjugation problem.