@Article{CMR-29-2, author = {Xia, Tian and Jinglu, Gao and Chunling, Cao}, title = {Existence of Positive Solutions for Singular Fourth Order Coupled System with Sign Changing Nonlinear Terms}, journal = {Communications in Mathematical Research }, year = {2013}, volume = {29}, number = {2}, pages = {167--178}, abstract = {
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.
}, issn = {2707-8523}, doi = {https://doi.org/2013-CMR-19021}, url = {https://global-sci.com/article/81790/existence-of-positive-solutions-for-singular-fourth-order-coupled-system-with-sign-changing-nonlinear-terms} }