참고문헌
- V. M. Alekseev, estimate for the perturbations of the solutions of ordinary differential equations, Vestn. Mosk. Univ. Ser. I. Math. Mekh. 2 (1961), 28-36.
- F. Brauer, Perturbations of nonlinear systems of differential equations, J. Math. Anal. Appl. 14 (1966), 198-206. https://doi.org/10.1016/0022-247X(66)90021-7
- S. I. Choi and Y. H. Goo, Lipschitz stability for perturbed functional differential systems, Far East J. Math. Sci(FJMS) 96 (2015), 573-591. https://doi.org/10.17654/FJMSMar2015_573_591
- S. I. Choi and Y. H. Goo, Uniform Lipschitz stability and asymptotic behavior of perturbed differential systems, J. Chungcheong Math. Soc. 29 (2016), 429-442. https://doi.org/10.14403/jcms.2016.29.3.429
- S. K. Choi, Y. H. Goo and N. J. Koo, Lipschitz and exponential asymptotic stability for nonlinear functional systems, Dynamic Systems and Applications 6 (1997), 397-410.
- S. K. Choi , N. J. Koo and S. M. Song, Lipschitz stability for nonlinear functional differential systems, Far East J. Math. Sci(FJMS)I 5 (1999), 689-708.
- F.M. Dannan and S. Elaydi, Lipschitz stability of nonlinear systems of differential systems, J. Math. Anal. Appl. 113 (1986), 562-577. https://doi.org/10.1016/0022-247X(86)90325-2
- S. Elaydi and H. R. Farran, Exponentially asymptotically stable dynamical systems, Appl.Anal. 25 (1987), 243-252. https://doi.org/10.1080/00036818708839688
- P. Gonzalez and M. Pinto,Stability properties of the solutions of the nonlinear functional differential systems, J. Math. Appl. 181 (1994), 562-573.
- Y. H. Goo, Lipschitz and asymptotic stability for perturbed nonlinear differential systems, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math. 21 (2014), 11-21.
-
Y. H. Goo, Boundedness in nonlinear perturbed functional differential systems via
$t_{\infty}$ -similarity, Far East J. Math. Sci(FJMS) 100 (2016), 1727-1774. https://doi.org/10.17654/MS100101727 - Y. H. Goo, Asymptotic behavior in nonlinear perturbed differential systems, Far East J. Math. Sci(FJMS) 98 (2015), 915-930. https://doi.org/10.17654/FJMSDec2015_915_930
- Y. H. Goo, Uniform Lipschitz stability and asymptotic behavior for perturbed differential systems, Far East J. Math. Sci(FJMS) 99 (2016), 393-412. https://doi.org/10.17654/MS099030393
- Y. H. Goo and Y. Cui, Lipschitz and asymptotic stability for perturbed differential systems, J. Chungcheong Math. Soc. 26 (2013), 831-842. https://doi.org/10.14403/jcms.2013.26.4.831
- D. M. Im and Y. H. Goo, Asymptotic property for perturbed nonlinear functional differential systems, J. Appl. Math. and Informatics, 33 (2015), 687-697. https://doi.org/10.14317/jami.2015.687
- D. M. Im and Y. H. Goo, Perturbations of nonlinear perturbed differential systems, Far East J. Math. Sci(FJMS), submitted.
- V. Lakshmikantham and S. Leela, Differential and Integral Inequalities: Theory and Applications Vol.I, Academic Press, New York and London, 1969.
- B. G. Pachpatte, Stability and asymptotic behavior of perturbed nonlinear systems, J. diff. equations 16 (1974), 14-25. https://doi.org/10.1016/0022-0396(74)90025-4
- B. G. Pachpatte, Perturbations of nonlinear systems of differential equations, J. Math. Anal. Appl. 51 (1975), 550-556. https://doi.org/10.1016/0022-247X(75)90106-7