On Solutions of Boundary Value Problem for Fourth-Order Beam Equations

In this paper, we consider the fourth-order linear differential equation u(4) +f(x)u = g(x) subject to the mixed boundary conditions u(0) = u(1) = u‘‘(0) = u‘‘(1) = 0. We first establish sufficient conditions on f(x) that guarantee a unique solution of this problem in the Hilbert space by using an...

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Bibliographic Details
Main Authors: Lazhar Bougoffa, Randolph Rach, Abdul-Majid Wazwaz
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2016-05-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/815