Файл	Ном	Сабт карда шуд
Olimi Abdumanon Gaforzoda	EXACT SOLUTION OF SOME THE SECOND KIND CONTINUOUS VOLTERRA INTEGRAL EQUATIONS	36

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)

JOURNAL NUMBER: 4(63). YEAR OF ISSUE: 2022. LANGUAGE OF THE ARTICLE: Tajik

ANNOTATION 

The article constructs the types of continuous Volterra integral equations of the second kind, the solution of which is in an explicit form. To do this, assuming the solution and the right side of the integral equation are sufficiently smooth, a transition is made to the corresponding linear ordinary differential equation with variable coefficients. Next, the general solution of an ordinary differential equation is written out and on its basis the formula for the exact solution of the integral equation is derived. The

 material given in the article is also used to improve the content of the courses of Volterra integral equations and linear ordinary differential equations.

KEY WORDS

second kind Volterra integral equation , homogeneous equation, linear ordinary differential equation, solution of the equation

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