호남수학학술지 (Honam Mathematical Journal)

  • 제27권3호
  • /
  • Pages.421-429
  • /
  • 2005
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

PEXIDER-EXPONENTIAL EQUATIONS IN THE SPACE OF DISTRIBUTIONS AND THEIR APPLICATIONS

  • RHO, SEOK (Department of Mathematics Kunsan National University)
  • 투고 : 2005.05.12
  • 발행 : 2005.09.25
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초록

Generalizing the results in [7] that considers several functional equations in the spaces of the Schwartz tempered distributions and the Fourier hyperfunctions we consider Pexider type functional equations in the space of distributions.

키워드

과제정보

연구 과제 주관 기관 : Kunsan National University

참고문헌

  1. Studia Sci. Math. Hungar v.17 Integrable solution of functional equations of a general type Aczel, J.;Chung, J.K.
  2. Aequationes Math. v.62 Distributional methods for functional equations Baker, J.A.
  3. Aequationes Math. v.46 On a functional equation of Aczel and Chung Baker, John A.
  4. J. Math. Anal. Appl. v.286 Stability of functional equations in the spaces of distributions and hyperfunctions Chung, J.
  5. Arch. Math. Distributional method for d'Alembert equation Chung, J.
  6. Applied Mathematics Letters Pompeiu equations in distributions Chung, J.
  7. Aequationes Math. v.65 Some functional equations in the spaces of generalized functions Chung, J.;Lee, S.Y.
  8. C. R. Acad. Sci. Paris Ser. I Math. v.316 Une caracterisation de l'espace de Schwartz Chung, J.;Chung, S.Y.;Kim, D.
  9. Generalized functions II Gelfand, I.M.;Shilov, G.E.
  10. The analysis of linear partial differential operators I Hormander, L.
  11. Theorie des distributions Schwartz, L.