期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2012
卷号：2012
DOI：10.1155/2012/838947
出版社：Hindawi Publishing Corporation
摘要：We study the existence of multiple nonnegative solutions for the doubly singular three-point boundary value problem with derivative dependent data function −(𝑝(𝑡)𝑦′(𝑡))′=𝑞(𝑡)𝑓(𝑡,𝑦(𝑡),𝑝(𝑡)𝑦′(𝑡)),0<𝑡<1,𝑦(0)=0,𝑦(1)=𝛼1𝑦(𝜂). Here, 𝑝∈𝐶[0,1]∩𝐶1(0,1] with 𝑝(𝑡)>0 on (0,1] and 𝑞(𝑡) is allowed to be discontinuous at 𝑡=0. The fixed point theory in a cone is applied to achieve new and more general results for existence of multiple nonnegative solutions of the problem. The results are illustrated through examples.
