Green’s functional for higher-order ordinary differential equations with general nonlocal conditions and variable principal coefficient

  • K. Özen

Abstract

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.
Published
25.01.2019
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.
Section
Research articles