Even periodic solutions of higher order duffing differential equations

Gen Qiang Wang; Sui-Sun Cheng

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 1, page 331-343
  • ISSN: 0011-4642

Abstract

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By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.

How to cite

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Wang, Gen Qiang, and Cheng, Sui-Sun. "Even periodic solutions of higher order duffing differential equations." Czechoslovak Mathematical Journal 57.1 (2007): 331-343. <http://eudml.org/doc/31132>.

@article{Wang2007,
abstract = {By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.},
author = {Wang, Gen Qiang, Cheng, Sui-Sun},
journal = {Czechoslovak Mathematical Journal},
keywords = {high order Duffing equation; even periodic solution; continuation theorem; even continuation theorem},
language = {eng},
number = {1},
pages = {331-343},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Even periodic solutions of higher order duffing differential equations},
url = {http://eudml.org/doc/31132},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Wang, Gen Qiang
AU - Cheng, Sui-Sun
TI - Even periodic solutions of higher order duffing differential equations
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 331
EP - 343
AB - By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.
LA - eng
KW - high order Duffing equation; even periodic solution; continuation theorem; even continuation theorem
UR - http://eudml.org/doc/31132
ER -

References

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  1. Even and periodic solutions of the equation u ' ' + g ( u ) = e ( t ) , J.  Diff. Equations 83 (1990), 277–299. (1990) MR1033189
  2. Nonlinear oscillations at a point of resonance, Sci. Sinica Ser.  A 25 (1982), 918–931. (1982) Zbl0509.34043MR0681856
  3. 10.1007/BF02559915, Acta Math. Sinica 3 (1987), 351–361. (1987) MR0930765DOI10.1007/BF02559915
  4. On the existence of 2 π -periodic solution for delay Duffing equation x ' ' ( t ) + g ( x ( t - r ) ) = p ( t ) , Chinese Science Bulletin 39 (1994), 201–203. (1994) 
  5. Periodic solutions of nonlinear differential equation of Duffing types, In: Differential and Functional Equations, Benjami, New York, 1967, pp. 199–224. (1967) MR0223656
  6. The Existence of periodic solutions for high order Duffing equations, Acta Math. Sinica 46 (2003), 49–56. (2003) Zbl1036.34052MR1971712
  7. Coincidence Degree and Nonlinear Differential Equations. Lecture Notes in Math. Vol.  586, Springer-Verlag, Berlin, New York, 1977. (1977) MR0637067

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