Investigation of a FourthOrder Ordinary Differential Equation with a FourPoint Boundary Conditions by a New Green's Functional Concept
Abstract
A boundary value problem given by multipoint conditions is investigated for a fourthorder differential equation. A system of five integroalgebraic 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 Greentype 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