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Note on the stability of first order linear differential equations

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Języki publikacji
EN
Abstrakty
EN
In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form y'(x)+f (x) y(x)+g(x) = 0 under some additional conditions.
Rocznik
Strony
67--74
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
  • North University of Baia Mare Faculty of Sciences Department of Mathematics and Computer Sciences Str. Victoriei, nr. 76 430122 Baia Mare, Romania, florin.bojor@yahoo.com
Bibliografia
  • [1] C. Alsina, R. Ger, On some inequalities and stability results related to the exponential function, J. Inequal. Appl. 2 (1998), 373–380.
  • [2] L. Cadariu, V. Radu, On the stability of the Cauchy functional equation: a fixed points approach, Grazer Math. Ber. 346 (2004), 323–350.
  • [3] D.H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. 27 (1941), 222–224.
  • [4] S.M. Jung, A fixed point approach to the stability of differential equations y0 = F(x; y), Bull. Malays. Math. Sci. Soc. (2) 33 (2010) 1, 47–56.
  • [5] S.M. Jung, A fixed point approach to the stability of a Volterra integral equation, Fixed Point Theory Appl. vol. 2007, Article ID 57064, 9 pp.
  • [6] S.M. Jung, Hyers-Ulam stability of linear differential equations of first order, Appl.Math. Lett. 17 (2004), 1135–1140.
  • [7] S.M. Jung, Hyers-Ulam stability of linear differential equations of first order (II), Appl. Math. Lett. 19 (2006), 854–858.
  • [8] T. Miura, On the Hyers-Ulam stability of a differentiable map, Sci. Math. Jpn. 55 (2002), 17–24.
  • [9] V. Radu, The fixed point alternative and the stability of functional equations, Fixed Point Theory 4 (2003) 1, 91–96.
  • [10] Th.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297–300.
  • [11] S.M. Ulam, A Collection of Mathematical Problems, Interscience Publ., New York, 1960.
  • [12] G. Wang, M. Zhou, L. Sun, Hyers-Ulam stability
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0007-0005
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