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