Investigation of a Fourth-Order Ordinary Differential Equation with a Four-Point Boundary Conditions by a New Green's Functional Concept

Oruçoğlu K., Ozen K.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Greece, 19 - 25 September 2011, vol.1389 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1389
  • Doi Number: 10.1063/1.3637821
  • City: Halkidiki
  • Country: Greece
  • Istanbul Technical University Affiliated: Yes

Abstract

A boundary value problem given by multi-point conditions is investigated for a fourth-order differential equation. A system of five integro-algebraic equations called as an adjoint system is introduced for this problem. A Green's functional concept is introduced as a special solution of the adjoint system. This new type of Green's function concept, which is more natural than the classical Green-type function concept, and an integral form of the nonhomogeneous problems can be found more naturally.