@article{article_912780, title={Existence of three solutions for Kirchhoff-type three-point boundary value problems}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={50}, pages={304–317}, year={2021}, DOI={10.15672/hujms.912780}, author={Heidarkhani, Shapour and Salari, Amjad}, keywords={three solutions, three-point boundary value problem, second-order Kirchhoff-type equation, Lipschitz condition, variational methods, critical point theory}, abstract={The present paper is an attempt to investigate the multiplicity results of solutions for a three-point boundary value problem of Kirchhoff-type. Indeed, we will use variational methods for smooth functionals, defined on the reflexive Banach spaces in order to achieve the existence of at least three solutions for the equation. Finally, by presenting one example, we will ensure the applicability of our results.}, number={2}, publisher={Hacettepe University}