TY  - JOUR
ID  - Szajnowska2024
LB  - Szajnowska2024
AU  - Szajnowska, Gabriela
AU  - Zima, Mirosława
TI  - Positive solutions to a third order nonlocal boundary value problem with a parameter
ST  - Positive solutions to a third order nonlocal boundary value problem with a parameter
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2024
VL  - 44
IS  - 2
SP  - 267
EP  - 283
DO  - https://doi.org/10.7494/OpMath.2024.44.2.267
UR  - https://doi.org/10.7494/OpMath.2024.44.2.267
AB  - We present some sufficient conditions for the existence of positive solutions to a third order differential equation subject to nonlocal boundary conditions. Our approach is based on the Krasnosel'skiĭ-Guo fixed point theorem in cones and the properties of the Green's function corresponding to the BVP under study. The main results are illustrated by suitable examples.
KW  - boundary value problem
KW  - nonlocal boundary conditions
KW  - positive solution
KW  - cone
SN  - 1232-9274
ER  -