Özen, Kemal2022-05-112022-05-112016978-0-7354-1453-20094-243Xhttps://doi.org/10.1063/1.4968454https://hdl.handle.net/20.500.11776/739642nd International Conference on Applications of Mathematics in Engineering and Economics (AMEE) -- JUN 08-13, 2016 -- Sozopol, BULGARIAOne of the little-known techniques for ordinary integro-differential equations in literature is Green's functional method, the origin of which dates back to Azerbaijani scientist Seyidali S. Akhiev. According to this method, Green's functional concepts for some simple forms of such equations have been introduced in the several studies. In this study, we extend Green's functional concept to a higher order ordinary integro-differential equation involving generally nonlocal conditions. A novel kind of adjoint problem and Green's functional are constructed for completely nonhomogeneous problem. By means of the obtained Green's functional, the solution to the problem is identified.en10.1063/1.4968454info:eu-repo/semantics/closedAccessOrdinary Differential-EquationConference Object1789N/AWOS:000399215200033