References
- V. M. Alekseev, An estimate for the perturbations of the solutions of ordinary differential equations, Vestn. Mosk. Univ. Ser. I. Math. Mekh. 2 (1961), 28-36(Russian).
- 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, h-stability and boundedness in perturbed functional differential systems, Far East J. Math. Sci(FJMS) 97 (2015), 69-93. https://doi.org/10.17654/FJMSMay2015_069_093
- S. I. Choi and Y. H. Goo, Lipschitz and asymptotic stability for nonlinear perturbed differential systems, J. Chungcheong Math. Soc. 27 (2014), 591-602. https://doi.org/10.14403/jcms.2014.27.4.591
- S. I. Choi and Y . H. Goo, Lipschitz and asymptotic stability of nonlinear systems of perturbed differential equations, Korean J. Math. 23 (2015), 181-197. https://doi.org/10.11568/kjm.2015.23.1.181
- 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.
- 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, 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, Uniform 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
- 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. Math. Anal. Appl. 16 (1974), 14-25.