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Hyers–Ulam Stability for a First-Order Linear Proportional Nabla Difference Operator

In: Frontiers in Functional Equations and Analytic Inequalities

Author

Listed:
  • Douglas R. Anderson

    (Department of Mathematics, Concordia College)

Abstract

The Hyers–Ulam stability (HUS) of a certain first-order proportional nabla difference equation with a sign-alternating coefficient is established. For those parameter values for which HUS holds, an HUS constant is found, and in special cases it is shown that this is the minimal such constant possible. A 2-cycle solution and a 4-cycle solution are shown to not have HUS.

Suggested Citation

  • Douglas R. Anderson, 2019. "Hyers–Ulam Stability for a First-Order Linear Proportional Nabla Difference Operator," Springer Books, in: George A. Anastassiou & John Michael Rassias (ed.), Frontiers in Functional Equations and Analytic Inequalities, pages 255-272, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-28950-8_15
    DOI: 10.1007/978-3-030-28950-8_15
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