A new Green function concept for fourth-order differential equations

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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.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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationOrucoglu, K. (2005). A new Green function concept for fourth-order differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(28), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13602
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectGreen function
dc.subjectLinear operator
dc.subjectMultipoint
dc.subjectNonlocal problem
dc.subjectNonsmooth coefficient
dc.subjectDifferential equations
dc.titleA new Green function concept for fourth-order differential equations
dc.typeArticle

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