Nonlinear forced oscillations

Miloš Zlámal

Časopis pro pěstování matematiky (1952)

  • Volume: 077, Issue: 1, page 53-64
  • ISSN: 0528-2195

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Zlámal, Miloš. "Nelineární vynucené oscilace." Časopis pro pěstování matematiky 077.1 (1952): 53-64. <http://eudml.org/doc/20383>.

@article{Zlámal1952,
author = {Zlámal, Miloš},
journal = {Časopis pro pěstování matematiky},
keywords = {ordinary differential equations},
language = {cze},
number = {1},
pages = {53-64},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Nelineární vynucené oscilace},
url = {http://eudml.org/doc/20383},
volume = {077},
year = {1952},
}

TY - JOUR
AU - Zlámal, Miloš
TI - Nelineární vynucené oscilace
JO - Časopis pro pěstování matematiky
PY - 1952
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 077
IS - 1
SP - 53
EP - 64
LA - cze
KW - ordinary differential equations
UR - http://eudml.org/doc/20383
ER -

References

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  1. Lefschetz, Existence of periodic solutions for certain differential equations, Proceedings of the Nat. Acad. of Sc. of the USA, vol. 29, 1943. (1943) Zbl0061.19002MR0007462
  2. Krylov-Bogoljubov, Introduction to nonlinear mechanics, Princeton 1942. (1942) 
  3. Andronov-Chaikin, Theory of oscillations, Princeton 1949. (1949) 
  4. Levinson, On the existence of periodic solutions for second order differential equations with forcing term, Journal of Math. and Phys., 1943. (1943) Zbl0061.18909
  5. Levinson, Transformation theory of nonlinear differential equations of the second order, Annals of Math. 1944. (1944) Zbl0061.18910
  6. Cartwright-Littlewood, On nonlinear differential equations of the second order II, Annals of Math. 1947. (1947) Zbl0029.12602
  7. Cartwright, Forced oscillations in nonlinear systems, Contributions to the theory of nonlinear oscillations, Princeton 1950. (1950) Zbl0039.09901
  8. Massera, The existence of periodic solutions of systems of differential equations, Duke Math. J. 1950. (1950) Zbl0038.25002MR0040512
  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. (1950) Zbl0039.31203
  10. Levinson, Correction. Transformation theory of nonlinear differential equa- tions of the second order, Annals of Math. 1948. (1948) 
  11. Massera, The number of subharmonic solutions of nonlinear differential equations of the second order, Annals of math. 1949. (1949) Zbl0041.21203
  12. Levinson, On a nonlinear differential equation of the second order, Journal of Math, and Phys. 1943. (1943) Zbl0061.18912
  13. Cartwright-Littlewood, On nonlinear differential equations of the second order I, Journal of the London Math. Soc. 1945. (1945) Zbl0061.18903
  14. Levinson, A second order differential equation with singular motion, Annals of Math. 1949. (1949) Zbl0041.42311

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