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Unboundedness of Solutions of Timoshenko Beam Equations with Damping and Forcing Terms
Joint Authors
Yoshida, Norio
Kobayashi, Kusuo
Source
International Journal of Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Timoshenko beam equations with external damping and internal damping terms and forcing terms are investigated, and boundary conditions (end conditions) to be considered are hinged ends (pinned ends), hinged-sliding ends, and sliding ends.
Unboundedness of solutions of boundary value problems for Timoshenko beam equations is studied, and it is shown that the magnitude of the displacement of the beam grows up to ∞ as t→∞ under some assumptions on the forcing term.
Our approach is to reduce the multidimensional problems to one-dimensional problems for fourth-order ordinary differential inequalities.
American Psychological Association (APA)
Kobayashi, Kusuo& Yoshida, Norio. 2013. Unboundedness of Solutions of Timoshenko Beam Equations with Damping and Forcing Terms. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-472028
Modern Language Association (MLA)
Kobayashi, Kusuo& Yoshida, Norio. Unboundedness of Solutions of Timoshenko Beam Equations with Damping and Forcing Terms. International Journal of Differential Equations No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-472028
American Medical Association (AMA)
Kobayashi, Kusuo& Yoshida, Norio. Unboundedness of Solutions of Timoshenko Beam Equations with Damping and Forcing Terms. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-472028
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472028