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delayed differential equation; asymptotic behaviour; boundedness of solutions; two-dimensional systems; Lyapunov method; Wa.zewski topological principle

References:

[1] J. Kalas: **Asymptotic behaviour of a two-dimensional differential system with delay under the conditions of instability**. Nonlinear Anal. 62 (2005), 207–224. MR 2145603 | Zbl 1078.34055

[2] J. Kalas, L. Baráková: **Stability and asymptotic behaviour of a two-dimensional differential system with delay**. J. Math. Anal. Appl. 269 (2002), 278–300. MR 1907886

[3] J. Kalas, J. Osička: **Bounded solutions of dynamical systems in the plane under the condition of instability**. Math. Nachr. 170 (1994), 133–147. MR 1302371

[4] J. Mawhin: **Periodic solutions of some planar nonautonomous polynomial differential equations**. Differ. Integral Equ. 7 (1994), 1055–1061. MR 1270118

[5] R.Manásevich, J. Mawhin, F. Zanolin: **Hölder inequality and periodic solutions of some planar polynomial differential equations with periodic coefficients**. Inequalities and Applications. World Sci. Ser. Appl. Anal. 3 (1994), 459–466. MR 1299575

[6] R. Manásevich, J. Mawhin, F. Zanolin: **Periodic solutions of complex-valued differential equations with periodic coefficients**. J. Differ. Equations 126 (1996), 355–373. MR 1383981

[7] M. Ráb, J. Kalas: **Stability of dynamical systems in the plane**. Differ. Integral Equ. 3 (1990), 127–144. MR 1014730

[8] K. P. Rybakowski: **Wa.zewski principle for retarded functional differential equations**. J. Differ. Equations 36 (1980), 117–138. MR 0571132

[9] K. P. Rybakowski: **A topological principle for retarded functional differential equations of Carathéodory type**. J. Differ. Equations 39 (1981), 131–150. MR 0607779 | Zbl 0477.34048