EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO A FOURTH-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM

Authors

  • F. Haddouchi Laboratoire de Mathématiques Fondamentales et Appliquées d'Oran (LMFAO), Département de Mathématiques, Université Oran1, B.P. 1524 El Mnaouer, Oran, Algérie Author
  • C. Guendouz Laboratoire de Mathématiques Fondamentales et Appliquées d'Oran (LMFAO), Département de Mathématiques, Université Oran1, B.P. 1524 El Mnaouer, Oran, Algérie Author
  • S. Benaicha Laboratoire de Mathématiques Fondamentales et Appliquées d'Oran (LMFAO), Département de Mathématiques, Université Oran1, B.P. 1524 El Mnaouer, Oran, Algérie Author

Keywords:

Positive solutions, Krasnoselskii's fixed point theorem, fourth-order integral boundary value problems, cone

Subjects:

34B15, 34B18

Abstract

In this paper, we study the existence and multiplicity of positive solutions for a nonlinear fourth-order ODE with multi-point boundary conditions and an integral boundary condition. The main tool is Krasnosel'skii fixed point theorem on cones.

Downloads

Published

2021-01-15

Issue

Vol. 73 No. 1 (2021): Vol. 73, Issue 1

Section

Articles

License

Copyright (c) 2021 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.