Existence of positive solutions to multi-point third order problems with sign changing nonlinearities

Authors

  • Abdulkadir Dogan Department of Applied Mathematics, Faculty of Computer Sciences, Abdullah Gul University, Kayseri, 38039 Turkey
  • John R. Graef Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA https://orcid.org/0000-0002-8149-4633

DOI:

https://doi.org/10.12697/ACUTM.2020.24.08

Keywords:

differential equation, third-order, boundary value problem, positive solutions, fixed point index

Abstract

In this paper, the authors examine the existence of positive solutions to a third-order boundary value problem having a sign changing nonlinearity. The proof makes use of fixed point index theory. An example is included to illustrate the applicability of the results.

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Published

2020-09-23

Issue

Vol. 24 No. 1 (2020)

Section

Articles