Dénes, Attila and Székely, László:
*Small solutions of the damped half-linear oscillator with step function coefficients.*
Electronic journal of qualitative theory of differential equations : special edition, (3) 46.
pp. 1-13. (2018)

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## Abstract

We give a sufficient condition guaranteeing the existence of a small solution, that is a non-trivial solution which tends to 0 as t tends to infinity, in the case when both damping and elasticity coefficients are step functions. With our main theorem we not just generalize the corresponding theorem for the linear case n = 1, but we even sharpen Hatvani’s theorem concerning the undamped half-linear differential equation. Keywords: small solution, asymptotic stability, half-linear differential equation, step function coefficients, damping, difference equations.

Item Type: | Article |
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Journal or Publication Title: | Electronic journal of qualitative theory of differential equations : special edition |

Date: | 2018 |

Volume: | 3 |

Number: | 46 |

Page Range: | pp. 1-13 |

ISSN: | 1417-3875 |

Uncontrolled Keywords: | Differenciálegyenlet, Oszcilláció - differenciálegyenlet |

Additional Information: | Bibliogr.: p. 11-13. ; Összefoglalás angol nyelven |

Date Deposited: | 2018. Nov. 06. 14:38 |

Last Modified: | 2018. Nov. 07. 13:34 |

URI: | http://acta.bibl.u-szeged.hu/id/eprint/55716 |

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