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Exact Solutions to Problems with Perturbed Differential and Boundary Operators

In: Analysis and Operator Theory

Author

Listed:
  • I. N. Parasidis

    (TEI of Thessaly)

  • E. Providas

    (TEI of Thessaly)

Abstract

We elaborate on a perturbation technique for examining the existence and uniqueness and delivering the solution in closed form of a composite boundary value problem involving the sum of a linear differential and an integral or loaded operator with nonlocal or integral boundary conditions, assuming that the exact solution for the differential operator with conventional boundary conditions is known. We apply this perturbation method to solve partial integro-differential, or loaded differential, equations with nonlocal, or integral, boundary conditions.

Suggested Citation

  • I. N. Parasidis & E. Providas, 2019. "Exact Solutions to Problems with Perturbed Differential and Boundary Operators," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Valentin A. Zagrebnov (ed.), Analysis and Operator Theory, pages 301-317, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-12661-2_14
    DOI: 10.1007/978-3-030-12661-2_14
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