2021•Lobachevskii Journal of MathematicsRequires access

To a Unique Solvability of a Problem with Integral Condition for Integro-Differential Equation

A. D. Abildayeva, R. M. Kaparova, A. T. Assanova

Abstract

Abstract Problem with integral condition for Fredholm integro-differential equation is considered. Conditions for a unique solvability of problem with integral condition for Fredholm integro-differential equation are established by method of introducing parameter. Results are illustrated to problem for Fredholm integro-differential equation with integral condition and degenerate kernel.

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Key concepts: Mathematics, Integro-differential equation, Differential equation, Mathematical analysis, Integral equation, Applied mathematics, Calculus (dental), Algebra over a field