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Monotone Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions
Joint Authors
Wang, Xian-Qiang
Sun, Jian-Ping
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper is concerned with the existence of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions.
By applying monotone iteration method, we not only obtain the existence of monotone positive solutions but also establish iterative schemes for approximating the solutions.
It is worth mentioning that these iterative schemes start off with zero function or quadratic function, which is very useful and feasible for computational purpose.
An example is also included to illustrate the main results obtained.
American Psychological Association (APA)
Sun, Jian-Ping& Wang, Xian-Qiang. 2011. Monotone Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-484816
Modern Language Association (MLA)
Sun, Jian-Ping& Wang, Xian-Qiang. Monotone Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions. Mathematical Problems in Engineering No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-484816
American Medical Association (AMA)
Sun, Jian-Ping& Wang, Xian-Qiang. Monotone Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-484816
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484816