References
- G. Ascoli, Osservazioni sopra alcune questioni di stabilita, I, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. 9 (1950), 129-134.
- D. Bainov and P. Simeonov, Integral Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, 1992.
-
S. K. Choi and N. J. Koo, Variationally stable difference systems by
$n_{\infty}$ -similarity, J. Math. Anal. Appl. 249 (2000), 553-568. https://doi.org/10.1006/jmaa.2000.6910 - S. K. Choi, N. J. Koo and D. M. Im, Asymptotic equivalence between linear differential systems, Bull. Korean Math. Soc. 42 (2005), 691-701. https://doi.org/10.4134/BKMS.2005.42.4.691
- S. K. Choi, N. J. Koo and S. Dontha, Asymptotic property in variation for nonlinear differential systems, Appl. Math. Letters 18 (2005), 117-126. https://doi.org/10.1016/j.aml.2003.07.019
- S. K. Choi and N. Koo, Asymptotic property for linear integro-differential systems, Nonlinear Analysis 70 (2009), 1862-1872. https://doi.org/10.1016/j.na.2008.02.086
- E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955.
- R. Conti, Sulla t-similitudine tra matrici e la stabilitaa dei sistemi differenziali lineari, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. 19 (1955), 247-250.
- W. A. Coppel, Stability and Asymptotic Behavior of Differential Equations, D.C. Heath and Company, Boston, 1965.
-
G. A. Hewer, Stability properites of the equations of first variation by
$t_{\infty}$ -similarity, J. Math. Anal. Appl. 41 (1973), 336-344. https://doi.org/10.1016/0022-247X(73)90209-6 - V. Lakshmikantham and S. Leela, Differential and Integral Inequalites with Theory and Applications, Academic Press, New York and London, 1969.
- V. Lakshmikantham, S. Leela and A. Martynuk, Stability Analysis of Nonlinear Systems, Marcel Dekker, Inc., New York and Basel, 1989.
- M. Pinto, Asymptotic integration of a system resulting from the perturbation of an h-system, J. Math. Anal. Appl. 131 (1988), no 1, 194-216. https://doi.org/10.1016/0022-247X(88)90200-4
-
W. F. Trench, On
$t_{\infty}$ -quasisimilarity of linear systems, Ann. Mat. Pura Appl. 142 (1985), 293-302. https://doi.org/10.1007/BF01766598