Title: | Nelineární vynucené oscilace (Czech) |

Title: | Nonlinear forced oscillations (English) |

Title: | Nicht-lineare erzwungene Schwingungen (German) |

Author: | Zlámal, Miloš |

Language: | Czech |

Journal: | Časopis pro pěstování matematiky |

ISSN: | 0528-2195 |

Volume: | 77 |

Issue: | 1 |

Year: | 1952 |

Pages: | 53-64 |

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Category: | math |

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MSC: | 34C15 |

idZBL: | Zbl 0081.30903 |

idMR: | MR0052619 |

DOI: | 10.21136/CPM.1952.117017 |

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Date available: | 2009-09-23T06:24:16Z |

Last updated: | 2020-07-28 |

Stable URL: | http://hdl.handle.net/10338.dmlcz/117017 |

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Reference: | [1] Lefschetz: Existence of periodic solutions for certain differential equations.Proceedings of the Nat. Acad. of Sc. of the USA, vol. 29, 1943. Zbl 0061.19002, MR 0007462 |

Reference: | [2] Krylov-Bogoljubov: Introduction to nonlinear mechanics.Princeton 1942. |

Reference: | [3] Andronov-Chaikin: Theory of oscillations.Princeton 1949. |

Reference: | [4] Levinson: On the existence of periodic solutions for second order differential equations with forcing term.Journal of Math. and Phys., 1943. |

Reference: | [5] Levinson: Transformation theory of nonlinear differential equations of the second order.Annals of Math. 1944. |

Reference: | [6] Cartwright-Littlewood: On nonlinear differential equations of the second order II.Annals of Math. 1947. |

Reference: | [7] Cartwright: Forced oscillations in nonlinear systems.Contributions to the theory of nonlinear oscillations, Princeton 1950. Zbl 0039.09901 |

Reference: | [8] Massera: The existence of periodic solutions of systems of differential equations.Duke Math. J. 1950. Zbl 0038.25002, MR 0040512 |

Reference: | [9] Langenhop-Farnell: The existence of forced periodic solutions of second order differential equations near certain equilibrium points of the unforced equation.Contributions to the theory of nonlinear oscillations, Princeton 1950. |

Reference: | [10] Levinson: Correction. Transformation theory of nonlinear differential equa- tions of the second order.Annals of Math. 1948. |

Reference: | [11] Massera: The number of subharmonic solutions of nonlinear differential equations of the second order.Annals of math. 1949. |

Reference: | [12] Levinson: On a nonlinear differential equation of the second order.Journal of Math, and Phys. 1943. |

Reference: | [13] Cartwright-Littlewood: On nonlinear differential equations of the second order I.Journal of the London Math. Soc. 1945. |

Reference: | [14] Levinson: A second order differential equation with singular motion.Annals of Math. 1949. |

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