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Hyers-Ulam-Rassias stability of quadratic functional equation in the space of Schwartz tempered distributions

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Abstract

Generalizing the Cauchy-Rasias inequality in [Th. M. Ras ias: On thestability of the linear maping in Banach spaces. Proc. Amer. Math. Soc.72 (1978),no. 2, 29730.] we consider a stability problem of quadratic functional equation inthe spaces of generalized functions uch as the Schwartz tempered istributions andSato hyperfunctions.

참고문헌 (15)

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  4. "Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartzdistributions", 300(2), pp.343~350 (2004)
  5. "A characterization for Fourier hyperfunctions" (1994)
  6. "Some functional equations in the spaces of generalized functions", 65(3), pp.267?~279 (2003)
  7. "Reformulation of some functional equations in the space of Gevrey distributionsand regularity of solutions", 59(. 1?2,), pp.108?~123 (2000)
  8. "On the stability of the quadratic mapping in normed spaces" (1992), Univ
  9. "The analysis of linear partial differential operators" (1983), Springer-Verlag
  10. "On the stability of the linear functional equation", pp.~2 (1941)
  11. "Stability of functional equations in severalvariables Progress in Nonlinear Differential Equations and their Applications" (1998), Inc
  12. "On the Hyers-Ulam stability of ψ-additive mappings", pp.~72 (1993)
  13. "On the stability of the linear mapping in Banach spaces" (1978)
  14. "On the stability of functional equations in Banach spaces", 251(1), pp.264?~284 (2000)
  15. "Local properties and approximation of operators", mila(53) (1986)

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