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Hyers-Ulam stability of n ͭ ͪ order linear differential equation

  • Murali, R. [1] ; Selvan, A. Ponmana [1]
    1. [1] Sacred Heart College

      Sacred Heart College

      India

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 3, 2019, págs. 553-566
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-2019-03-0035
  • Enlaces
  • Resumen
    • In this paper, we investigate the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of the homogeneous linear differential equation of nth order with initial and boundary conditions by using Taylor’s Series formula.

  • Referencias bibliográficas
    • S. Ulam, A collection of mathematical problems, New York, NY: Interscience Publishers, 1960.
    • D. Hyers, “On the stability of the linear functional equation”, Proceedings of the National Academy of Sciences, vol. 27, no. 4, pp. 222–224,...
    • T. Rassias, “On the stability of the linear mapping in Banach spaces”, Proceedings of the American Mathematical Society, vol. 72, no. 2, pp....
    • T. Aoki, “On the stability of the linear transformation in Banach spaces.”, Journal of the Mathematical Society of Japan, vol. 2, no. 1-2,...
    • D. Bourgin, “Classes of transformations and bordering transformations”, Bulletin of the American Mathematical Society, vol. 57, no. 4, pp....
    • N. Brillouët-Belluot, J. Brzdęk, and K. Ciepliński, “On some recent developments in Ulams type stability”, Abstract and Applied Analysis,...
    • M. Burger, N. Ozawa, and A. Thom, “On Ulam stability”, Israel Journal of Mathematics, vol. 193, no. 1, pp. 109–129, May 2012, doi: 10.1007/s11856-012-0050-z.
    • H. Maeda and A. J. Sommese, “Notes on very ample vector bundles on 3-folds”, Archiv der Mathematik, vol. 85, no. 6, pp. 527–537, Dec. 2005,...
    • M. Obloza, “Hyers stability of the linear differential equation”, Rocznik Naukowo-Dydaktyczny. Prace Matematyczne, vol. 13, pp. 259–270, 1993....
    • C. Alsina and R. Ger, “On some inequalities and stability results related to the exponential function”, Journal of Inequalities and Applications,...
    • S. Takahasi, T. Miura, and S. Miyajima, “On the Hyers-Ulam stability of the Banach space valued differential equation y’ = λy”, Bulletin...
    • I. Rus, “Ulam stabilities of ordinary differential equations in Banach space”, Carpathian Journal of Mathematics, vol. 26, no.1, pp. 103-107,...
    • G. Wang, M. Zhou, and L. Sun, “Hyers–Ulam stability of linear differential equations of first order”, Applied Mathematics Letters, vol. 21,...
    • J. Huang and Y. Li, “Hyers–Ulam stability of linear functional differential equations”, Journal of Mathematical Analysis and Applications,...
    • J. Huang, S. Jung, and Y. Li, “On Hyers-Ulam stability of nonlinear differential equations”, Bulletin of the Korean Mathematical Society,...
    • Y. Li and Y. Shen, “Hyers–Ulam stability of linear differential equations of second order”, Applied Mathematics Letters, vol. 23, no. 3, pp....
    • M. Modebei, O. Olaiya and I. Otaide. “Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial...
    • T. Xu, “On the stability of multi-Jensen mappings in β-normed spaces”, Applied Mathematics Letters, vol. 25, no. 11, pp. 1866–1870, Nov. 2012,...
    • A. Zada, O. Shah, and R. Shah, “Hyers–Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems”, Applied Mathematics...
    • X. Wang, M. Arif, and A. Zada, “β–Hyers–Ulam–Rassias stability of semilinear nonautonomous impulsive system”, Symmetry, vol. 11, no. 2, Art....
    • J. Wang, A. Zada, and W. Ali, “Ulam’s-type stability of first-order impulsive differential equations with variable delay in Quasi–Banach spaces”,...
    • A. Zada and S. Ali, “Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous...
    • A. Zada, W. Ali, and C. Park, “Ulam’s type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari’s...
    • A. Zada and S. Shah, “Hyers-Ulam stability of first order nonlinear delay differential equations with fractional integrable impulses” Hacettepe...
    • A. Zada, S. Shaleena, and T. Li, “Stability analysis of higher order nonlinear differential equations in β –normed spaces”, Mathematical Methods...
    • A. Zada, M. Yar, and T. Li, “Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations...
    • K. Ravi, R.Murali and A. Selvan. “Ulam stability of a general nth order linear differential equation with constant coefficients”. Asian Journal...
    • K. Ravi, R. Murali and A. Selvan. “Hyers-Ulam stability of nth order linear differential equation with initial and boundary condition”, Asian...
    • R. Murali and A. Selvan, “On the generalized Hyers-Ulam stability of linear ordinary differential equations of higher order”, International...
    • R. Murali and A. Selvan, “Hyers-Ulam stability of nth order differential equation”, Contemporary Studies in Discrete Mathematics, vol. 2,...
    • R. Murali and A. Selvan, “Hyers-Ulam-Rassias stability for the linear ordinary differential equation of third order”, Kragujevac Journal of...
    • R. Murali and A. Selvan, “Hyers-Ulam stability of linear differential equations”, in Computational Intelligence, Cyber Security and Computational...
    • R. Murali and A. Selvan, “Hyers-Ulam stability of nth order system of differential equation”, American International Journal of Research in...

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