Construction of Green's functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficient

Özen, Kemal2022-05-112022-05-1120201072-947X1572-9176https://doi.org/10.1515/gmj-2019-2003https://hdl.handle.net/20.500.11776/7446In this work, the solvability of a generally nonlocal problem is investigated for a third order linear ordinary differential equation with variable principal coefficient. A novel adjoint problem and Green's functional are constructed for a completely nonhomogeneous problem. Several illustrative applications for the theoretical results are provided.en10.1515/gmj-2019-2003info:eu-repo/semantics/closedAccessGreen's functionnonlocal conditionadjoint problemvariable principal coefficientPositive SolutionsFundamental-SolutionsConstruction of Green's functional for a third order ordinary differential equation with general nonlocal conditions and variable principal coefficientArticle274593603Q4WOS:000586530400010