TY - JOUR
T1 - Existence of Positive Solutions for Singular Fourth Order Coupled System with Sign Changing Nonlinear Terms
AU - Xia , Tian
AU - Gao , Jinglu
AU - Cao , Chunling
JO - Communications in Mathematical Research 
VL - 2
SP - 167
EP - 178
PY - 2021
DA - 2021/05
SN - 29
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19021.html
KW - fixed point theorem, positive solution, integral boundary condition.
AB - <p style="text-align: justify;">This paper deals with the existence of positive solutions to a singular
fourth order coupled system with integral boundary conditions. Since the nonlinear
terms $f$, $g$ may change sign or be singular at $t = 0$ or $t = 1$, the authors make a
priori estimates to overcome some difficulties and apply Guo-Krasnoselskii fixed point
theorem to prove the existence of solutions of the system under suitable assumptions.
Finally, some examples to illustrate the main results are given.</p>