Variational principle for a three-point boundary value problem
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Authors
Hong-Yan Liu
- School of Fashion Technology, Zhongyuan University of Technology, No. 41 Zhongyuan Road (M), 450007 Zhengzhou, China.
- National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, 215123 Suzhou, China.
Ji-Huan He
- National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, 215123 Suzhou, China.
Zhi-Min Li
- Rieter (China) Textile Instrument Co., 1068 West Tianshan Road, 200335 Shanghai, China.
Abstract
A variational principle is established for a three-point boundary value problem. The stationary condition
includes not only the governing equation but also the natural boundary conditions. The paper reveals that
not every boundary condition adopts a variational formulation, and the existence and uniqueness of the
solutions of a three-point boundary value problem can be revealed by its variational formulation.
Share and Cite
ISRP Style
Hong-Yan Liu, Ji-Huan He, Zhi-Min Li, Variational principle for a three-point boundary value problem, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 8, 5169--5174
AMA Style
Liu Hong-Yan, He Ji-Huan, Li Zhi-Min, Variational principle for a three-point boundary value problem. J. Nonlinear Sci. Appl. (2016); 9(8):5169--5174
Chicago/Turabian Style
Liu, Hong-Yan, He, Ji-Huan, Li, Zhi-Min. "Variational principle for a three-point boundary value problem." Journal of Nonlinear Sciences and Applications, 9, no. 8 (2016): 5169--5174
Keywords
- Variational theory
- boundary value problem
- semi-inverse method
- natural boundary condition.
MSC
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