Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces

作者：Hao Xinan; Liu Lishan^*; Wu Yonghong; Xu Naiwei

来源：Computers & Mathematics with Applications, 2011, 61(7): 1880-1890.

DOI：10.1016/j.camwa.2011.02.017

• Positive solution
• Singular nth-order BVP
• Nonlocal conditions
• Fixed point index for strict set contraction
• Measure of noncompactness
• Cone

In this paper, we consider a class of singular nth-order nonlocal boundary value problems in Banach spaces. The existence of multiple positive solutions for the problem is obtained by using the fixed point index theory of strict set contraction operators. To demonstrate the applications of our results, two examples are also given in the paper.

• 出版日期2011-4
• 单位曲阜师范大学