About Power Absolute Integrated of the Solution of Volterra System of Linear Second Kind Integral Equations on Half-axis

Samandar İSKANDAROV

Sufficient conditions are established such as the sign of the functions of absolute and quadratic integrability on the half-axis of the components of the solution of a linear system of Volterra-type integral equations of the second kind in the new formulation, namely, without the assumption that the components of the free term possess the properties under study. To achieve the intended goals, the matrix method of weight functions, the matrix method of cutting functions, the matrix method of partial cutting of the author, and the method of integral inequalities of Ya. V. Bykov are developed. Th ...Более

Статья 2021 Fen Fakültesi Lobachevskii Journal of Mathematics42 ( 3 ) 98 Просмотры

One Class of Linear Fredholm Operator Equations of the Third Kind

Avıt ASANOV | Kalıskan MATANOVA

In this paper, we are applied a new approach to prove that the solution of the linear Fredholm operator equation of the third kind given on a segment and having a finite number of multipoint singularities is equivalent to the solution of the linear Fredholm operator equation of the second kind with additional conditions. We are showed an example of solving the system of linear integral Fredholm equations of the third kind based on the equivalence of the above equations.

Статья 2021 Fen Fakültesi Lobachevskii Journal of Mathematics42 ( 3 ) 66 Просмотры

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About Power Absolute Integrated of the Solution of Volterra System of Linear Second Kind Integral Equations on Half-axis

Samandar İSKANDAROV

One Class of Linear Fredholm Operator Equations of the Third Kind

Avıt ASANOV | Kalıskan MATANOVA