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A LINEAR CONJUGATION TYPE PROBLEM FOR OPERATOR - DIFFERENTIAL EQUATION WITH TWO BOUNDARY AND ONE INTERNAL SINGULAR POINTS

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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 ISSUE2022. 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.