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Continuous dependence and differentiation of solutions of finite difference equations

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  • Johnny Henderson
  • Linda Lee

Abstract

Conditions are given for the continuity and differentiability of solutions of initial value problems and boundary value problems for the n t h order finite difference equation, u ( m + n ) = f ( m , u ( m ) , u ( m + 1 ) , … , u ( m + n − 1 ) ) , m ∈ ℤ .

Suggested Citation

  • Johnny Henderson & Linda Lee, 1991. "Continuous dependence and differentiation of solutions of finite difference equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:174120
    DOI: 10.1155/S0161171291001011
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    Cited by:

    1. Jeffrey W. Lyons, 2024. "Differentiation of Solutions of Caputo Boundary Value Problems with Respect to Boundary Data," Mathematics, MDPI, vol. 12(12), pages 1-9, June.

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