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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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