Investigation of a fourth-order ordinary differential equation with a four-point boundary conditions by a new Green's functional concept

Kamil Oruçoǧlu*, Kemal Özen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages1160-1163
Number of pages4
DOIs
Publication statusPublished - 2011
EventInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece
Duration: 19 Sept 201125 Sept 2011

Publication series

NameAIP Conference Proceedings
Volume1389
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
Country/TerritoryGreece
CityHalkidiki
Period19/09/1125/09/11

Keywords

  • Adjoint System
  • Fundamental Solution
  • Green's Function
  • Multi-Point Conditions

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