Multiple Positive Solutions for a Class of m-Point Boundary Value Problems on Time Scales. (19th July 2009)

• Record Type: Journal Article
• Authors: Feng, Meiqiang; Zhang, Xuemei; Ge, Weigao
• Other Names: Otero-Espinar Victoria Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2009(2009)
• Publication Date: 2009-07-19
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2009/219251
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : 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, which cannot be handled using the existing results.