@article{Bi2024, 
author = {Zhonghua Bi and Sanyang Liu},
title = {Global structure of positive solutions for third-order semipositone integral boundary value problems},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {7273-7292},
keywords = {positive solutions, semipositone, third-order integral boundary value problems, bifurcation},
url = {https://www.sciopen.com/article/10.3934/math.2024353},
doi = {10.3934/math.2024353},
abstract = {In this paper, we were concerned with the global behavior of positive solutions for third-order semipositone problems with an integral boundary condition                                       y          ‴                +        β                  y          ″                +        α                  y          ′                +        λ        f        (        t        ,        y        )        =        0        ,                                t        ∈        (        0        ,        1        )        ,                                  y        (        0        )        =                  y          ′                (        0        )        =        0        ,                                y        (        1        )        =        χ                  ∫          0          1                y        (        s        )        d        s        ,            where    α  ∈  (  0  ,  ∞  ) and    β  ∈  (  −  ∞  ,  ∞  ) are two constants,    λ  ,  χ are two positive parameters, and    f  ∈  C  (  [  0  ,  1  ]  ×  [  0  ,  ∞  )  ,      R    ) with    f  (  t  ,  0  )  <  0. Our analysis mainly relied on the bifurcation theory.}
}