On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution


Usmanov K.I. Turmetov B.K. Nazarova K.Z.
August 2022MDPI

Symmetry
2022#14Issue 8

In this paper, a multipoint boundary value problem for systems of integro-differential equations with involution has been studied. To solve the studied problem, the parameterization method is used. Based on the parametrization method, the studied problem is decomposed into two parts, i.e., into the Cauchy problem and a system of linear equations. Necessary and sufficient conditions for the unique solvability of the studied problem are determined.

integro-differential equations , involution , loaded equations , multipoint boundary value problem , parametrization method

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Department of Mathematics, Faculty of Natural Science, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 161200, Kazakhstan

Department of Mathematics

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