A new Green function concept for fourth-order differential equations

Date

2005-03-06

Authors

Orucoglu, Kamil

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

A linear completely nonhomogeneous generally nonlocal multipoint problem is investigated for a fourth-order differential equation with generally nonsmooth coefficients satisfying some general conditions such as p-integrability and boundedness. A system of five integro-algebraic equations called an adjoint system is introduced for this problem. A concept of a Green functional is introduced as a special solution of the adjoint system. This new type of Green 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. Some applications are given for elastic bending problems.

Description

Keywords

Green function, Linear operator, Multipoint, Nonlocal problem, Nonsmooth coefficient, Differential equations

Citation

Orucoglu, K. (2005). A new Green function concept for fourth-order differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(28), pp. 1-12.

Rights

Attribution 4.0 International

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