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dc.contributor.authorOrucoglu, Kamil ( )
dc.date.accessioned2021-05-20T18:15:54Z
dc.date.available2021-05-20T18:15:54Z
dc.date.issued2005-03-06
dc.identifier.citationOrucoglu, K. (2005). A new Green function concept for fourth-order differential equations. Electronic Journal of Differential Equations, 2005(28), pp. 1-12.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13602
dc.description.abstractA 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.en_US
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectGreen functionen_US
dc.subjectLinear operatoren_US
dc.subjectMultipointen_US
dc.subjectNonlocal problemen_US
dc.subjectNonsmooth coefficienten_US
dc.subjectDifferential equationsen_US
dc.titleA new Green function concept for fourth-order differential equationsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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