EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR A CLASS OF THREE POINT BOUNDARY VALUE PROBLEMS OF KIRCHHOFF TYPE

EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR A CLASS OF THREE POINT BOUNDARY VALUE PROBLEMS OF KIRCHHOFF TYPE

H. M. B. Alrikabi, G. A. Afrouzi, M. Alimohammady

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Abstract

In this paper we shall discuss the existence and multiplicity results of so- lutions for a three point boundary value problem of kirchhoff-type equations. We in- vestigate the existence of one, two or three solutions for our problem under algebraic conditions by applying a different three critical point theorem.

Keywords

Weak solution, Kirchhoff-type problem, Three-point boundary-value prob- lem, Kirchhoff problems.