CLASS OF LINEAR VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND ON THE AXIS
Kambarova Aisalkyn Daminovna
Osh State University, Kyrgyzstan
Abstract. The aims of the article are to find the sufficient conditions of the uniqueness of the solution and to construct a regularizing operator according to M. M. Lavrent'ev for linear Volterra integral equations of the first kind on the axis. Linear Volterra integral equations of the first kind are used in various applied problems, in particular in the problems of seismology. To achieve this goal, the author at first built regularizing operators according to M. M. Lavrent’ev for the solution of the integral equation of the first kind, and then proved the uniqueness theorem using the method proposed by I. Imanaliev and A. Asanov.
Key words and phrases: линейные интегральные уравнения Вольтерра первого рода, регуляризация по М. М. Лаврентьеву, единственность, достаточные условия, задачи сейсмологии, linear Volterra integral equations of the first kind, regularization according to M. M. Lavrent’ev, uniqueness, sufficient conditions, problems of seismology
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