Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 4

STABILITY OF EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN NORMED SPACES

Sayfa
571–579
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our resultsin the setting of non-Archimedean normed spaces are different from theresults in the setting of normed spaces.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we prove the stability of Euler-Lagrange quadratic mappings in the framework of non-Archimedean normed spaces.
📊
Temel Bulgular & Veri:In this paper, we prove the stability of Euler-Lagrange quadratic mappings in the framework of non-Archimedean normed spaces.
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Sonuç & Katkı:Our resultsin the setting of non-Archimedean normed spaces are different from theresults in the setting of normed spaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized Hyers-Ulam stability · Euler-Lagrange functional equation · Non-Archimedean normed space

Abstract

In this paper, we prove the stability of Euler-Lagrange quadratic mappings in the framework of non-Archimedean normed spaces. Our resultsin the setting of non-Archimedean normed spaces are different from theresults in the setting of normed spaces.

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Bu Makaleye Atıf Yap

SADEGHI, G., SAADATI, R., JANFADA, M., RASSIAS, J. M. (2022). STABILITY OF EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN NORMED SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 571–579. https://ajindex.com/articles/530616

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Kaynakça (20)

  1. Arriola, L. M. and Beyer, W. A. Stability of the Cauchy functional equation over p-adic fields, Real Anal. Exchange 31, 125–132, 2005/2006.
  2. Cho, Y. J., Park, C. and Saadati, R. Functional inequalities in non-Archimedean Banach spaces, Appl. Math. Letters 10, 1238–1242, 2010.
  3. Czerwik, S. Stability of Functional Equations of Ulam-Hyers-Rassias Type (Hadronic Press,
  4. Palm Harbor, Florida, 2003).
  5. Forti, G. L. Hyers-Ulam stability of functional equations in several variables Aequationes Math. 50, 143–190, 1995.
  6. Hyers, D. H. and Rassias, Th. M. Approximate homomorphisms, Aequationes Math. 44, 125–153, 1992.
  7. Hyers, D. H., Isac, G. and Rassias, Th. M. Stability of Functional Equations in Several Variables(Birkh¨auser, Basel, 1998).
  8. Jun, K. and Kim, H. The generalized Hyers-Ulam-Rassias stability of a cubic functional equation, J. Math. Anal. Appl. 274, 867–878, 2002.
  9. Jung, S. Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis (Hadronic Press lnc., Palm Harbor, Florida, 2001).
  10. Lee, Y. and Chung, S. Stability of an Euler-Lagrange-Rassias equation in the spaces of generalized functions, Appl. Math. Letters 21, 694–700, 2008.
  11. Kim, H. and Rassias, J. M. Generalization of Ulam stability problem for Euler-Lagrange quadratic mappings, J. Math. Anal. Appl. 336, 277–296, 2007.
  12. Moslehian, M. S. The Jensen functional equation in non-Archimedian normed spaces, J. Funct. Spaces. Appl. 2 (1), 13–24, 2009.
  13. Moslehian, M. S. and Rassias, Th. M. Stability of functional equations in non-Archimedian spaces, Appl. Anal. Disc. Math. 2, 325–334, 2007.
  14. Moslehian, M. S. and Sadeghi, Gh. Stability of tow type of cubic functional equations in non-Archimedian spaces, Real. Anal. Exchange 33, 375–383, 2008.
  15. Rassias, J. M. On the stability of the non-linear Euler-Lagrange functional equation in real normed linear spaces, J. Math. Phys. Sci. 28, 231–235, 1994.
  16. Rassias, J. M. On the stability of the general Euler-Lagrange functional equation, Demon- stratio Math. 29, 755–766, 1996.
  17. Rassias, J. M. Solution of the Ulam stability problem for Euler-Lagrange quadratic mapping, J. Math. Anal. Appl. 220, 613–639, 1998.
  18. Rassias, J. M. On the stability of the multi-dimensional Euler-Lagrange functional equation, J. Indian Math. Soc. 66, 1–9, 1999.
  19. Rassias J. M. and Rassias, M. J. Refined Ulam stability for Euler-Lagrange type mappings in Hilbert spaces, Intern. J. Appl. Math. Stat. 7, 126–132, 2007.
  20. Rassias, Th. M. On the stability of functional equations and a problem of Ulam, A