Multiple positive solutions of the singular boundary value problem for Sturm-Liouville equation with impulses on the half line

作者：Yang Xuxin^*; Wang Weibing; Shen Jianhua

来源：Journal of Applied Mathematics and Computing, 2012, 40(1-2): 511-528.

DOI：10.1007/s12190-012-0578-4

• Fixed point theorems
• Fixed-point index
• Half-line
• Impulse
• Multiple positive solutions
• Multiplicity results
• Positive solution
• Singular
• Singular boundary value problems
• Sturm-Liouville equation

We consider the existence of multiple positive solutions of the singular boundary value problem for the Sturm-Liouville equation with impulses on the half line. By applying the fixed-point index theorem of a cone map, existence and multiplicity results about positive solutions are obtained. Our results improve and generalize some well-known results. An example is presented to demonstrate applications of our main results.

• 出版日期2012
• 单位湖南第一师范学院