%0 Journal Article %T Variational principle for a three-point boundary value problem %A Liu, Hong-Yan %A He, Ji-Huan %A Li, Zhi-Min %J Journal of Nonlinear Sciences and Applications %D 2016 %V 9 %N 8 %@ ISSN 2008-1901 %F Liu2016 %X 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. %9 journal article %R 10.22436/jnsa.009.08.02 %U http://dx.doi.org/10.22436/jnsa.009.08.02 %P 5169--5174 %0 Journal Article %T Existence of concave symmetric positive solutions for a three-point boundary value problem %A U. Akcan %A N. A. Hamal %J Adv. Difference Equ. %D 2014 %V 2014 %F Akcan2014 %0 Journal Article %T Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method %A F. Geng %J Appl. Math. Comput. %D 2009 %V 215 %F Geng2009 %0 Journal Article %T Variational principles for some nonlinear partial differential equations with variable coefficients %A J. H. He %J Chaos Solitons Fractals %D 2004 %V 19 %F He2004 %0 Journal Article %T Variational approach to impulsive differential equations using the semi-inverse method %A J. H. He %J Zeitschrift für Naturforschung A %D 2011 %V 66 %F He2011 %0 Journal Article %T Asymptotic methods for solitary solutions and compactons %A J. H. He %J Abstr. Appl. Anal. %D 2012 %V 2012 %F He2012 %0 Journal Article %T On fractal space-time and fractional calculus %A Y. Hu %A J. H. He %J Thermal Sci. %D 2016 %V 20 %F Hu2016 %0 Journal Article %T Variational principle for unsteady heat conduction equation %A Z. Jia %A M. Hu %A Q. Chen %J Thermal Sci. %D 2014 %V 18 %F Jia2014 %0 Journal Article %T On the semi-inverse method and variational principle %A X. W. Li %A Y. Li %A J. H. He %J Thermal Sci. %D 2013 %V 17 %F Li2013 %0 Journal Article %T First-order three-point boundary value problems at resonance %A M. Mohamed %A B. Thompson %A M. S. Jusoh %J J. Comput. Appl. Math. %D 2011 %V 235 %F Mohamed2011 %0 Journal Article %T Existence of triple positive solutions for a third-order three-point boundary value problem %A Y. P. Sun %J J. Comput. Appl. Math. %D 2008 %V 221 %F Sun2008 %0 Journal Article %T Approximate solution of three-point boundary value problems for second-order ordinary differential equations with variable coefficients %A X. C. Zhong %A Q. A. Huang %J Appl. Math. Comput. %D 2014 %V 247 %F Zhong2014