POSITIVE SOLUTIONS FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH LIDSTONE LIKE BOUNDARY CONDITIONS.

Autor: NEUGEBAUER, JEFFREY T., WINGO, AARON G.
Předmět:
Zdroj: Kragujevac Journal of Mathematics; 2024, Vol. 48 Issue 2, p309-322, 14p
Abstrakt: We consider a higher order fractional boundary value problem with Lidstone like boundary conditions, where the nonlinearity is an L1-Carathèodory function. We first consider the lower order problem. Then, by using a convolution to construct the Green's function for the higher order problem, we are able to apply a recent fixed point theorem to show the existence of positive solutions of the boundary value problem. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index