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On the existence of nonoscillatory solutions tending to zero at infinity for differential equations with positive delays. (English) Zbl 0463.34050


MSC:

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
34C11 Growth and boundedness of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems
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References:

[1] T. Kusano andH. Onose, Asymptotic behavior of nonoscillatory solutions of functional differential equations of arbitrary order. J. London Math. Soc.14, 106-112 (1976). · Zbl 0378.34056
[2] T. Kusano andH. Onose, Nonoscillation theorems for differential equations with deviating argument. Pacific J. Math.63, 185-192 (1976). · Zbl 0342.34058
[3] G. Ladas. Sharp conditions for oscillations caused by delays. Applicable Anal.9, 93-98 (1979). · Zbl 0407.34055
[4] G.Ladas, V.Akshmikantham and J. S.Papadakis, Oscillations of higher-order retarded differential equations generated by the retarded argument. Symposium on delay and functional differential equations, University of Utah, March 7-11, 1972. · Zbl 0273.34052
[5] D. L. Lovelady, Positive bounded solutions for a class of linear delay differential equations. Hiroshima Math. J.6, 451-456 (1976). · Zbl 0362.34051
[6] Ch. G. Philos, Oscillatory and asymptotic behavior of all solutions of differential equations with deviating arguments. Proc. Roy. Soc. Edinburgh Sect. A,81, 195-210 (1978). · Zbl 0417.34108
[7] Ch. G. Philos andV. A. Staikos, Asymptotic properties of nonoscillatory solutions of differential equations with deviating argument. Pacific J. Math.70, 221-242 (1977). · Zbl 0377.34038
[8] Y. G. Sficas, Strongly monotone solutions of retarded differential equations. Canad. Math. Bull.22, 403-412 (1979). · Zbl 0429.34068
[9] Y. G. Sficas, On the behavior of nonoscillatory solutions of differential equations with deviating argument. J. Nonlinear Anal.3, 379-394 (1979). · Zbl 0417.34106
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