Green’s functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient
AbstractThe 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.
How to Cite
ÖzenK. “Green’s Functional for Higher-Order Ordinary Differential Equations With General nonlocal conditions and Variable Principal Coefficient”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 1, Jan. 2019, pp. 99-116, http://umj.imath.kiev.ua/index.php/umj/article/view/1422.