A new Green function concept for fourth-order differential equations
dc.contributor.author | Orucoglu, Kamil | |
dc.date.accessioned | 2021-05-20T18:15:54Z | |
dc.date.available | 2021-05-20T18:15:54Z | |
dc.date.issued | 2005-03-06 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 12 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Orucoglu, K. (2005). A new Green function concept for fourth-order differential equations. Electronic Journal of Differential Equations, 2005(28), pp. 1-12. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13602 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Green function | |
dc.subject | Linear operator | |
dc.subject | Multipoint | |
dc.subject | Nonlocal problem | |
dc.subject | Nonsmooth coefficient | |
dc.subject | Differential equations | |
dc.title | A new Green function concept for fourth-order differential equations | |
dc.type | Article |