A necessary and sufficient condition for 2nth-order singular super-linear m-point boundary value problems

作者：Wei Zhongli^*

来源：Journal of Mathematical Analysis and Applications, 2007, 327(2): 930-947.

DOI：10.1016/j.jmaa.2006.04.056

• 2nth-order singular super-linear m-point boundary value problem
• positive solution
• fixed point theorem
• cone

In this paper, we study the existence of positive solutions for singular super-linear m-point boundary value problems of 2nth-order ordinary differential equations. A necessary and sufficient condition for the existence of C(2n-2) [0, 1] positive solutions as well as C(2n-1) [0, 1] positive solutions is given by means of the fixed point theorems on cones.

• 出版日期2007-3-15
• 单位山东建筑大学; 山东大学