Affiliation:
1. University of Latvia , Riga , LATVIA
Abstract
Abstract
We study the existence and multiplicity of positive solutions for a third-order two-point boundary value problem by applying Krasnosel’skii’s fixed point theorem. To illustrate the applicability of the obtained results, we consider some examples.
Reference20 articles.
1. [1] AGARWAL, R. P.—O’REGAN, D.—WONG, P.J.Y.: Positive Solutions of Differential, Difference and Integral Equations. Kluwer Academic, Dordrecht, 1998.10.1007/978-94-015-9171-3
2. [2] ANDERSON, D. R.—DAVIS, J.M.: Multiple solutions and eigenvalues for third-order right focal boundary value problem, J. Math. Anal. Appl. 267 (2002), 135–157.10.1006/jmaa.2001.7756
3. [3] BAXLEY, J,—HAYWOOD, L. J.: Multiple positive solutions of nonlinear boundary value problems, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10 (2003), 157–168.
4. [4] CABADA, A.—DIMITROV, N.D.: Third-order differential equations with three-point boundary conditions, Open Mathematics 19 (2021), 11–31.10.1515/math-2021-0007
5. [5] ERBE, L. H.—WANG, H.: On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120 (1994), 743–748.10.1090/S0002-9939-1994-1204373-9
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Existence and multiplicity of positive solutions for a third order differential equations;THE 5TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE IN INFORMATION SYSTEMS (CIIS 2022): Intelligent and Resilient Digital Innovations for Sustainable Living;2023