Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 245, pp. 1-16.

Title: Existence of solutions for two-point boundary-value problems
       with singular differential equations of variable order

Author: Shuqin Zhang (China Univ. of Mining and Technology, Beijing, China)

Abstract:
 In this work, we show the existence of a solution for
 a two-point boundary-value problem having a singular differential
 equation of variable order. We use some analysis techniques and
 the Arzela-Ascoli theorem, and then illustrate our results with
 examples.

Submitted May 22, 2013. Published November 12, 2013.
Math Subject Classifications: 26A33, 34B15.
Key Words: Derivatives and integrals of variable order; singular;
           differential equations of variable order; Arzela-Ascoli theorem.