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Asymptotic behaviour of a class of nonoscillatory solutions of differential equations with deviating arguments. (English) Zbl 0523.34069

MSC:
34K25 Asymptotic theory of functional-differential equations
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
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References:
[1] PHILOS, Ch. G.: Oscillatory and asymptotic behavior of all solutions of differential equations with deviating arguments. Proc. Roy. Soc. Edinburgh Sect. A 81, 1978, 195-210. · Zbl 0417.34108
[2] PHILOS, Ch. G., SFICAS Y. G., STAIKOS, VA. A.: Some results on the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments. J. Austral. Math. Soc. (Series A), 32, 1982, 295-317. · Zbl 0499.34053
[3] PHILOS, Ch. G., STAIKOS V. A.: A basic asymptotic criterion for differential equations with deviating arguments and its applications for the nonoscillation of linear ordinary equations. Nonlinear Anal., to appear. · Zbl 0492.34066
[4] SCHAUDER J.: Der Fixpunktsatz in Funktionalr√§umen. Studia Math. 2, 1930, 171-180. · JFM 56.0355.01
[5] STAIKOS V. A.: Differential Equations with deviating Arguments-Oscillation Theory. Unpublished manuscripts. · Zbl 0351.34045
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