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Hyers-Ulam Stability of Some Differential Equations and Differential Operators

In: Handbook of Functional Equations

Author

Listed:
  • Dorian Popa

    (Department of Mathematics)

  • Ioan Raşa

    (Department of Mathematics)

Abstract

This chapter contains results on generalized Hyers–Ulam stability, obtained by the authors, for linear differential equations, linear differential operators and partial differential equations in Banach spaces. As a consequence we improve some known estimates of the difference between the perturbed and the exact solution.

Suggested Citation

  • Dorian Popa & Ioan Raşa, 2014. "Hyers-Ulam Stability of Some Differential Equations and Differential Operators," Springer Optimization and Its Applications, in: Themistocles M. Rassias (ed.), Handbook of Functional Equations, edition 127, pages 301-322, Springer.
    • Handle: RePEc:spr:spochp:978-1-4939-1286-5_14
    DOI: 10.1007/978-1-4939-1286-5_14
    as

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