Variational principle for a three-point boundary value problem | Zendy

Hongyan Liu | Zendy; Ji-Huan He | Zendy; Zhimin Li | Zendy

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Variational principle for a three-point boundary value problem

Author(s) -

Hongyan Liu,

Ji-Huan He,

Zhimin Li

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.08.02

Subject(s) - mathematics , point (geometry) , boundary value problem , value (mathematics) , mathematical analysis , calculus (dental) , mathematical optimization , mathematical economics , geometry , statistics , medicine , dentistry

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. c ©2016 All rights reserved.

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