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stability; asymptotic behaviour; differential system; nonconstant delay; Lyapunov method

References:

[1] Kalas, J.: **Asymptotic behaviour of a two-dimensional differential systems with nonconstant delay**. accepted in Math. Nachr.

[2] Kalas, J., Baráková, L.: **Stability and asymptotic behaviour of a two-dimensional differential system with delay**. J. Math. Anal. Appl. 269 (2002), 278–300. DOI 10.1016/S0022-247X(02)00023-9 | MR 1907886 | Zbl 1008.34064

[3] Ráb, M., Kalas, J.: **Stability of dynamical systems in the plane**. Differential Integral Equations 3 (1990), 124–144. MR 1014730

[4] Rebenda, J.: **Asymptotic properties of solutions of real two-dimensional differential systems with a finite number of constant delays**. Mem. Differential Equations Math. Phys. 41 (2007), 97–114. MR 2391945 | Zbl 1157.34356

[5] Rebenda, J.: **Stability of the trivial solution of real two-dimensional differential system with nonconstant delay**. In 6. matematický workshop - sborník, FAST VUT Brno 2007, 2007, 49–50 (abstract). Fulltext available at http://math.fce.vutbr.cz/~pribyl/workshop_2007/prispevky/Rebenda.pdf

[6] Rebenda, J.: **Asymptotic behaviour of real two-dimensional differential system with a finite number of constant delays**. Demonstratio Math. 41 (4) (2008), 845–857. MR 2484509 | Zbl 1169.34051