TY - JOUR
T1 - Solvability of Third-Order Three-Point Boundary Value Problems with Carathéodory Nonlinearity
AU - Yao , Qingliu
JO - Communications in Mathematical Research 
VL - 3
SP - 209
EP - 217
PY - 2021
DA - 2021/05
SN - 28
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19042.html
KW - nonlinear ordinary differential equation, multi-point boundary value
problem, existence.
AB - <p style="text-align: justify;">A class of third-order three-point boundary value problems is considered,
where the nonlinear term is a Carathéodory function. By introducing a height function and considering the integration of this height function, an existence theorem of
solution is proved when the limit growth function exists. The main tools are the
Lebesgue dominated convergence theorem and the Schauder fixed point theorem.</p>