Smoothness of Solutions of Conjugate Boundary-value Problems on a Measure Chain
Date
2000-07-14
Authors
Kaufmann, Eric R.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this paper we consider the nth order Δ-differential equation (often referred to as a differential equation on a measure chain)
uΔn(t) = ƒ(t,u(σ(t)),...,uΔn-1 (σ(t)))
satisfying n-point conjugate boundary conditions. We show that solutions depend continuously and smoothly on the boundary values.
Description
Keywords
Measure chain, Initial-value problem, Boundary-value problem
Citation
Kaufmann, E. R. (2000). Smoothness of solutions of conjugate boundary-value problems on a measure chain. <i>Electronic Journal of Differential Equations, 2000</i>(54), pp. 1-10.
Rights
Attribution 4.0 International