Open Access
Issue
ITM Web Conf.
Volume 49, 2022
International Conference on Applied Mathematics and Numerical Methods – fourth edition (ICAMNM 2022)
Article Number 02003
Number of page(s) 11
Section Differential Equations, Dynamical Systems, Algebra, And Geometry
DOI https://doi.org/10.1051/itmconf/20224902003
Published online 16 November 2022
  1. R. Bellman, Introduction to Matrix Analysis, McGraw-Hill Company, Inc. New York 1960 (translated in Romanian). [Google Scholar]
  2. F. Brauer, J. S. W. Wong, On asymptotic behavior of perturbed linear systems, J. Differential Equations 6 (1969), 142-153. [CrossRef] [MathSciNet] [Google Scholar]
  3. F. Brauer, J. S. W. Wong, On asymptotic relationships between solutions of two systems of ordinary differential equations, J. Differential Equations 6 (1969), 527-543. [CrossRef] [MathSciNet] [Google Scholar]
  4. W. A. Coppel, Stability and Asymptotic Behavior of Differential Equations, D. C. Heath and Company, Boston, 1965. [Google Scholar]
  5. A. Diamandescu, On the Ψ asymptotic equivalence of the Ψ bounded solutions of two Lyapunov matrix differential equations, ITM Web of Conferences 34, 03006 (2020); https://doi.org/10.1051/itmconf/20203403006 [CrossRef] [EDP Sciences] [Google Scholar]
  6. A. Diamandescu, On the Ψ instability of a nonlinear Lyapunov matrix differential equations, Analele Universita˘¸tii de Vest, Timis¸oara, Seria Matematica˘ Informatica˘, XLIX, 1, (2011), 21-37. [Google Scholar]
  7. A. Diamandescu, On Ψ Bounded Solutions for a nonlinear Lyapunov Matrix Differential Equation on R, Analele Universita˘¸tii de Vest, Timis¸oara, Seria Matematica˘ Informatica˘, LVI, 2, (2018), 131-150. [Google Scholar]
  8. A. Diamandescu, Note on the Ψ − asymptotic relationships between Ψ − bounded solutions of two Lyapunov matrix differential equations, Int. J. Nonlinear Anal. Appl. 13 (2022) 2, 2361-2372. [Google Scholar]
  9. T. G. Hallam, On asymptotic equivalence of the bounded solutions of two systems of differential equations, Mich. Math. Journal, Vol. 16(1969), 353–363. [CrossRef] [Google Scholar]
  10. J. R. Magnus, H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, John Wiley & Sons Ltd, Chichester, 1999. [Google Scholar]
  11. I. M. Olaru, The Asymptotic Equivalence of the Differential Equations with Modified Argument, Acta Universitatis Apulensis, No. 11/2006, 211-217. [Google Scholar]
  12. I. A. Rus, Generalized contractions, Seminar on fixed point theory, No. 3, 1983, 1-130. [Google Scholar]
  13. V.A, Staikos, A note on the boundedness of solutions of ordinary differential equations, Boll. U.M.I, S IV, 1, (1968), 256-261. [Google Scholar]
  14. P. Talpalaru, Quelques problemes concernant ljequivalence asymptotique des systemes differentiels, Boll. U.M.I. (4) 1971, 164-186. [Google Scholar]

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