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Monotone Iterative Technique for a Class of Slanted Cantilever Beam Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, we deal with the existence and uniqueness of the solutions of two-point boundary value problem of fourth-order ordinary differential equation: u4(t)=f(t,u(t),u′(t)), t∈[0,1], u(0)=u′(0)=u′′(1)=u′′′(1)=0, where f:[0,1]×R2→R is a continuous function.
The problem describes the static deformation of an elastic beam whose left end-point is fixed and right is freed, which is called slanted cantilever beam.
Under some weaker assumptions, we establish a new maximum principle by the perturbation of positive operator and construct the monotone iterative sequence of the lower and upper solutions, and, based on this, we obtain the existence and uniqueness results for the slanted cantilever beam.
American Psychological Association (APA)
Wei, Mei& Li, Qiang. 2017. Monotone Iterative Technique for a Class of Slanted Cantilever Beam Equations. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1190774
Modern Language Association (MLA)
Wei, Mei& Li, Qiang. Monotone Iterative Technique for a Class of Slanted Cantilever Beam Equations. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1190774
American Medical Association (AMA)
Wei, Mei& Li, Qiang. Monotone Iterative Technique for a Class of Slanted Cantilever Beam Equations. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1190774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190774