Uniqueness result for the cantilever beam equation with fully nonlinear term
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Authors
Yumei Zou
- Department of Statistics and Finance, Shandong University of Science and Technology, Qingdao 266590, P. R. China.
Yujun Cui
- State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, P. R. China.
Abstract
In this paper, the uniqueness of solution for the cantilever beam equation with fully nonlinear term is obtained by using the method of order reduction and the theory of linear operators. A simple comparison is given to show that the obtained results provide the same results with weaker conditions.
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ISRP Style
Yumei Zou, Yujun Cui, Uniqueness result for the cantilever beam equation with fully nonlinear term, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4734--4740
AMA Style
Zou Yumei, Cui Yujun, Uniqueness result for the cantilever beam equation with fully nonlinear term. J. Nonlinear Sci. Appl. (2017); 10(9):4734--4740
Chicago/Turabian Style
Zou, Yumei, Cui, Yujun. "Uniqueness result for the cantilever beam equation with fully nonlinear term." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4734--4740
Keywords
- Fully fourth-order boundary value problem
- uniqueness theorem
- order reduction
- Banach’s contraction mapping principle.
MSC
References
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