@inproceedings{bf9b47e65ae743f397e3215064d82c27,

title = "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.",

keywords = "Adjoint System, Fundamental Solution, Green's Function, Multi-Point Conditions",

author = "Kamil Oru{\c c}oǧlu and Kemal {\"O}zen",

year = "2011",

doi = "10.1063/1.3637821",

language = "English",

isbn = "9780735409569",

series = "AIP Conference Proceedings",

pages = "1160--1163",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics",

note = "International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",

}