Problems with Mean Curvature-Like Operators and Three-Point Boundary Conditions
- 72 Downloads
In this paper we study the existence of solutions for a new class of nonlinear differential equations with three-point boundary conditions. Existence of solutions are obtained by using the Leray–Schauder degree.
KeywordsBoundary value problems Leray–Schauder degree Mean curvature-like operators
Mathematics Subject Classification34B15 47H11
This research was supported by CAPES and CNPq/Brazil. The author would like to thank to Dr. Pierluigi Benevieri for his kind advice and for the constructive revision of this paper.
Compliance with ethical standards
Conflict of interest
The author declares that there is no conflict of interest regarding the publication of this article.
- Benevieri, P., do Ó, J.M., Souto de Medeiros, E.: Periodic solutions for nonlinear systems with mean curvature-like operators. Nonlinear Anal. 65, 1462–1475 (2006)Google Scholar
- Santos, D.P.D.: Existence of solutions for some nonlinear problems with boundary value conditions. Abstr. Appl. Anal. (2016). doi: 10.1155/2016/5283263