Existence of Positive Solutions to Multi-Point Third Order Problems With Sign Changing Nonlinearities

Dogan, AbdulkadirGraef, John R.2025-09-252025-09-2520201406-22832228-4699https://doi.org/10.12697/ACUTM.2020.24.08https://hdl.handle.net/20.500.12573/3820Graef, John/0000-0002-8149-4633;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.eninfo:eu-repo/semantics/openAccessDifferential EquationThird-OrderBoundary Value ProblemPositive SolutionsFixed Point IndexExistence of Positive Solutions to Multi-Point Third Order Problems With Sign Changing NonlinearitiesArticle10.12697/ACUTM.2020.24.08