Multiple Positive Solutions for a Class of m-Point Boundary Value Problems on Time Scales

Meiqiang Feng, Xuemei Zhang, Weigao Ge
2009 Advances in Difference Equations  
By constructing an available integral operator and combining Krasnosel'skii-Zabreiko fixed point theorem with properties of Green's function, this paper shows the existence of multiple positive solutions for a class of m-point second-order Sturm-Liouville-like boundary value problems on time scales with polynomial nonlinearity. The results significantly extend and improve many known results for both the continuous case and more general time scales. We illustrate our results by one example,
more » ... y one example, which cannot be handled using the existing results.
doi:10.1155/2009/219251 fatcat:yp4qsxe5dffmtbzbxh3fouuld4