Investigation of a Fourth-Order Ordinary Differential Equation with a Four-Point Boundary Conditions by a New Green's Functional Concept
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.
- Publication:
-
Numerical Analysis and Applied Mathematics ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics
- Pub Date:
- September 2011
- DOI:
- 10.1063/1.3637821
- Bibcode:
- 2011AIPC.1389.1160O
- Keywords:
-
- functional analysis;
- number theory;
- mathematical operators;
- linear algebra;
- 02.30.Sa;
- 02.10.De;
- 02.30.Tb;
- 02.10.Ud;
- Functional analysis;
- Algebraic structures and number theory;
- Operator theory;
- Linear algebra