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A CLASS OF SYSTEMS OF LINEAR FREDHOLM INTEGRAL EQUATIONS OF THE THIRD KIND WITH
Author(s) : Ruhidin Asanov and Avyt Asanov
Pages : [49] - [62]
Received : February 8, 2021; Revised February 23, 2021
Communicated by : Professor Haik G. Ghazaryan
Pages : [49] - [62]
Received : February 8, 2021; Revised February 23, 2021
Communicated by : Professor Haik G. Ghazaryan
Abstract
A new approach is used to show that the solution for one class of systems of linear Fredholm integral equations of the third kind with multipoint singularities in the semiaxis is equivalent to the solution of systems of linear Fredholm integral equations of the second kind in the semiaxis with additional conditions. The existence, nonexistence, uniqueness and nonuniqueness of solutions to systems of linear Fredholm integral equations of the third kind with multipoint singularities in the semiaxis are analyzed.
Keywords
linear, system, integral equations, Fredholm, third kind, multipoint singularities, semiaxis.