Averaging method and boundary value problems for systems of fredholm integro-differential equations

Stanzhytskyi O.M. Karakenova S.G. Uteshova R.E.
2021 InforMath Publishing Group

Nonlinear Dynamics and Systems Theory
2021 #21 Issue 1 100 - 113 pp.

In this paper, an analogue of Bogolyubovs first theorem of the averaging method for systems of Fredholm integro-differential equations is established. The averaging method is also applied to boundary value problems for such systems. It is shown that if a boundary value problem for an averaged system, which is a system of ordinary differential equations, has a solution, then the original problem is solvable as well.

Averaging method , Boundary-value problem , Fredholm integro-differential equation

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Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Al-Farabi Kazakh National University, Almaty, Kazakhstan
International Information Technology University, Almaty, Kazakhstan

Taras Shevchenko National University of Kyiv
Al-Farabi Kazakh National University
International Information Technology University

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