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Closed-Form Solutions for Some Classes of Loaded Difference Equations with Initial and Nonlocal Multipoint Conditions

In: Modern Discrete Mathematics and Analysis

Author

Listed:
  • I. N. Parasidis

    (TEI of Thessaly)

  • E. Providas

    (TEI of Thessaly)

Abstract

We state solvability criteria and derive closed-form solutions to nth-order difference equations and loaded difference equations involving initial and nonlocal discrete multipoint, homogeneous and nonhomogeneous, conditions by using the extension operator method.

Suggested Citation

  • I. N. Parasidis & E. Providas, 2018. "Closed-Form Solutions for Some Classes of Loaded Difference Equations with Initial and Nonlocal Multipoint Conditions," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Modern Discrete Mathematics and Analysis, pages 363-387, Springer.
  • Handle: RePEc:spr:spochp:978-3-319-74325-7_19
    DOI: 10.1007/978-3-319-74325-7_19
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    Cited by:

    1. Bondarenko, Natalia P., 2022. "Finite-difference approximation of the inverse Sturm–Liouville problem with frozen argument," Applied Mathematics and Computation, Elsevier, vol. 413(C).

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