Electron. J. Differential Equations, Vol. 2016 (2016), No. 234, pp. 1-13.

Existence of weak solutions for three-point boundary-value problems of Kirchhoff-type

Ghasem A. Afrouzi, Shapour Heidarkhani, Shahin Moradi

Abstract:
We show the existence of at least one weak solution for a three-point boundary-value problem of Kirchhoff-type. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.

Submitted March 5, 2016. Published August 16, 2016.
Math Subject Classifications: 35J20, 34B15.
Key Words: Weak solution; three-point boundary-value problem; Kirchhoff-type problem; variational method.

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Ghasem A. Afrouzi
Department of Mathematics
Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: afrouzi@umz.ac.ir
Shapour Heidarkhani
Department of Mathematics
Faculty of Sciences
Razi University
67149 Kermanshah, Iran
email: s.heidarkhani@razi.ac.ir
Shahin Moradi
Department of Mathematics
Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: shahin.moradi86@yahoo.com

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