@Article{CMR-31-51, author = {Yao , Qingliu}, title = {A $(k, n − k)$ Conjugate Boundary Value Problem with Semipositone Nonlinearity}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {31}, number = {1}, pages = {51--61}, abstract = {

The existence of positive solution is proved for a $(k, n − k)$ conjugate boundary value problem in which the nonlinearity may make negative values and may be singular with respect to the time variable. The main results of Agarwal et al. (Agarwal R P, Grace S R, O'Regan D. Semipositive higher-order differential equations. Appl. Math. Letters, 2004, 14: 201–207) are extended. The basic tools are the Hammerstein integral equation and the Krasnosel'skii's cone expansion-compression technique.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2015.01.06}, url = {http://global-sci.org/intro/article_detail/cmr/18946.html} }