Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 54, pp. 1-10.

Title: Smoothness of solutions of conjugate boundary-value problems 
       on a measure chain 

Author:  Eric R. Kaufmann (Univ. of Arkansas at Little Rock, USA)
         
Abstract: 
 In this paper we consider the n-th order $\Delta$-differential equation
 (often refered to as a differential equation on a measure chain)
 $$u^{\Delta_n}(t) = f(t, u(\sigma(t)),\dots, u^{\Delta_{n-1}}(\sigma(t)))$$ 
 satisfying n-point conjugate boundary conditions.  We show that solutions 
 depend continuously and smoothly on the boundary values.
  
Submitted June 27, 2000. Published July 14, 2000.
Math Subject Classifications: 34B15, 34B99, 39A10, 34A99.
Key Words: Measure chain; initial-value problem; boundary-value problem.