Accesso libero

The Ψ–Asymptotic Equivalence of the Lyapunov Matrix Differential Equations with Integral Term as Right Side and Modified Argument

  
24 dic 2022
INFORMAZIONI SU QUESTO ARTICOLO

Cita
Scarica la copertina

[1] R. Bellman, Introduction to Matrix Analysis, McGraw-Hill Company, Inc. New York 1960. Search in Google Scholar

[2] F. Brauer, J. S. W. Wong, On asymptotic behavior of perturbed linear systems, J. Differential Equations 6 (1969), 142–153.10.1016/0022-0396(69)90122-3 Search in 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), 527–543.10.1016/0022-0396(69)90008-4 Search in Google Scholar

[4] W. A. Coppel, Stability and Asymptotic Behavior of Differential Equations, D. C. Heath and Company, Boston, 1965. Search in 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 (2020), 03006.10.1051/itmconf/20203403006 Search in Google Scholar

[6] A. Diamandescu, On the Ψ instability of a nonlinear Lyapunov matrix differential equations, An. Univ. Vest Timiş., Ser. Mat.-Inform. XLIX (1) (2011), 21–37. Search in Google Scholar

[7] A. Diamandescu, On Ψ- Bounded Solutions for a nonlinear Lyapunov Matrix Differential Equation on ℝ, An. Univ. Vest Timiş., Ser. Mat.-Inform. LVI (2) (2018), 131–150.10.2478/awutm-2018-0020 Search in 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 (2) (2022), 2361–2372. Search in Google Scholar

[9] A. Diamandescu, On the Ψ-Conditional Exponential Asymptotic Stability of a Nonlinear Lyapunov Matrix Differential Equation with Integral Term as Right Side, An. Univ. Vest Timiş., Ser. Mat.-Inform. 58 (1), (2022), 56–75.10.2478/awutm-2022-0005 Search in Google Scholar

[10] T. G. Hallam, On asymptotic equivalence of the bounded solutions of two systems of differential equations, Michigan Math. J. 16 (1969), 353–363.10.1307/mmj/1029000319 Search in Google Scholar

[11] J. R. Magnus, H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, John Wiley & Sons Ltd, Chichester, 1999. Search in Google Scholar

[12] I. M. Olaru, The Asymptotic Equivalence of the Differential Equations with Modified Argument, Acta Univ. Apulensis, Math. Inform. 11 (2006), 211–217. Search in Google Scholar

[13] I. A. Rus, Generalized contractions, Seminar on fixed point theory 3 (1983), 1–130. Search in Google Scholar

[14] V. A, Staikos, A note on the boundedness of solutions of ordinary differential equations, Boll. Unione Mat. Ital. S. IV 1 (1968), 256–261. Search in Google Scholar

[15] P. Talpalaru, Quelques problemes concernant l equivalence asymptotique des systemes differentiels, Boll. Unione Mat. Ital. S. IV 4 (1971) 164–186. Search in Google Scholar

Lingua:
Inglese
Frequenza di pubblicazione:
Volume Open
Argomenti della rivista:
Matematica, Matematica generale