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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 |

### Keywords:

positive solutions
Full Text:
DOI

### 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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