TY - JOUR AU - K. Özen PY - 2019/01/25 Y2 - 2024/03/19 TI - Green’s functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 71 IS - 1 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1422 AB - The method of Green’s functional is a little-known technique for the construction of fundamental solutions to linear ordinarydifferential equations (ODE) with nonlocal conditions. We apply this technique to a higher order linear ODE involvinggeneral nonlocal conditions. A novel kind of adjoint problem and Green’s functional are constructed for the completelyinhomogeneous problem. Several illustrative applications of the theoretical results are provided. ER -