Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales

Advances in Difference Equations

Liu Yang¹  Weiguo Zhang² 

[1] College of Science, University of Shanghai for Science and Technology, Shanghai, P.R. China;Department of Mathematics, Hefei Normal University, Hefei, P.R. China

关键词: boundary value problem;    time scale;    fixed point;    cone;    increasing homeo-morphism and positive homomorphism;   

DOI  :  10.1186/1687-1847-2012-13

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Investigated here are interesting aspects of the positive solutions for two kinds of m-point boundary value problems for an increasing homeomorphism and positive homo-morphism on time scales. By using the Avery-Peterson fixed point theorem, we obtain the existence of at least three positive solutions for these problems. The interesting point is that the nonlinear term depends on the first-order delta-derivative explicitly.

【 授权许可】

CC BY