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 |
. |
Category:
|
math |
. |
MSC:
|
34C15 |
idZBL:
|
Zbl 0081.30903 |
idMR:
|
MR0052619 |
DOI:
|
10.21136/CPM.1952.117017 |
. |
Date available:
|
2009-09-23T06:24:16Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117017 |
. |
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. |
. |