Özen, KemalOruçoğlu, Kamil2022-05-112022-05-1120131303-5010https://hdl.handle.net/20.500.11776/7362In this work, by Green's functional concept, in order to obtain Green's solution we concentrate on a new constructive technique by which a linear completely nonhomogeneous nonlocal problem for a second-order loaded differential equation with generally variable coefficients satisfying some general properties such as p-integrability and boundedness is transformed into one and only one integral equation. A system of three integro-algebraic equations called the special adjoint system is obtained for this problem. A solution of this special adjoint system is Green's functional which enables us to determine Green's function and Green's solution for the problem. Two illustrative applications are provided.eninfo:eu-repo/semantics/closedAccessGreen's functionloaded differential equationnonlocal conditionadjoint problemEquationsArticle424437446Q3WOS:0003290815000142-s2.0-84961712299Q3