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