Geodesic
Variational principle for a three-point boundary value problem
Liu, Hong-Yan1 ; He, Ji-Huan2 ; Li, Zhi-Min3
1 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
2 National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, 215123 Suzhou, China
3 Rieter (China) Textile Instrument Co., 1068 West Tianshan Road, 200335 Shanghai, China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 8, p. 5169-5174.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.08.02
Classification : 34B10, 34B15, 35A15
Keywords: Variational theory, boundary value problem, semi-inverse method, natural boundary condition.

Liu, Hong-Yan 1 ; He, Ji-Huan 2 ; Li, Zhi-Min 3

1 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
2 National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-ai Road, 215123 Suzhou, China
3 Rieter (China) Textile Instrument Co., 1068 West Tianshan Road, 200335 Shanghai, China 
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Liu, Hong-Yan; He, Ji-Huan; Li, Zhi-Min. Variational principle for a three-point boundary value problem. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 8, p. 5169-5174. doi : 10.22436/jnsa.009.08.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.08.02/

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