Green's Functional for Higher-Order Ordinary Differential Equations with General Nonlocal Conditions and Variable Principal Coefficient
Özet
The method of Green's functional is a little-known technique for the construction of fundamental solutions to linear ordinary differential equations (ODE) with nonlocal conditions. We apply this technique to a higher-order linear ODE involving general nonlocal conditions. A novel kind of adjoint problem and Green's functional are constructed for the completely inhomogeneous problem. Several illustrative applications of the theoretical results are provided.