Open Access Research Article

Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales

Liang-Gen Hu1, Ti-Jun Xiao2 and Jin Liang3*

Author Affiliations

1 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

2 School of Mathematical Sciences, Fudan University, Shanghai 200433, China

3 Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

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Boundary Value Problems 2009, 2009:937064  doi:10.1155/2009/937064

Published: 16 August 2009

Abstract

We are concerned with singular three-point boundary value problems for delay higher-order dynamic equations on time scales. Theorems on the existence of positive solutions are obtained by utilizing the fixed point theorem of cone expansion and compression type. An example is given to illustrate our main result.