Uniqueness result for the cantilever beam equation with fully nonlinear term

Volume 10, Issue 9, pp 4734--4740 http://dx.doi.org/10.22436/jnsa.010.09.16

Publication Date: September 09, 2017 Submission Date: March 07, 2017

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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

34B15
34B18

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