Boundedness of solutions of the third order differential equation with oscillatory restoring and forcing terms

Ján Andres

Czechoslovak Mathematical Journal (1986)

  • Volume: 36, Issue: 1, page 1-6
  • ISSN: 0011-4642

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Andres, Ján. "Boundedness of solutions of the third order differential equation with oscillatory restoring and forcing terms." Czechoslovak Mathematical Journal 36.1 (1986): 1-6. <http://eudml.org/doc/13549>.

@article{Andres1986,
author = {Andres, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {third order differential equation; boundedness; Cauchy formula},
language = {eng},
number = {1},
pages = {1-6},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundedness of solutions of the third order differential equation with oscillatory restoring and forcing terms},
url = {http://eudml.org/doc/13549},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Andres, Ján
TI - Boundedness of solutions of the third order differential equation with oscillatory restoring and forcing terms
JO - Czechoslovak Mathematical Journal
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 1
SP - 1
EP - 6
LA - eng
KW - third order differential equation; boundedness; Cauchy formula
UR - http://eudml.org/doc/13549
ER -

References

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  1. W. A. Coppel, Stability and Asymptotic Behavior of Differential Equations, D. C. Heath, Boston, 1975. (1975) MR0190463
  2. J. Andres, Asymptotic properties of solutions of a certain third order differential equation with the oscillatory restoring term, to appear. MR1039890

Citations in EuDML Documents

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  1. Vladimír Vlček, A note to a certain nonlinear differential equation of the third-order
  2. Vladimír Vlček, On the boundedness of solutions of a certain fourth-order nonlinear differential equation
  3. Vladimír Vlček, Boundedness of solutions of a certain fifth-order nonlinear differential equations
  4. Ján Andres, Asymptotic properties of solutions of a certain third-order differential equation with an oscillatory restoring term
  5. Ján Andres, Vladimír Vlček, On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations
  6. Ján Andres, Boundedness results of solutions to the equation x ′′′ + a ⁢ x ′′ + g ⁢ ( x ) ⁢ x ′ + h ⁢ ( x ) = p ⁢ ( t ) without the hypothesis h ⁢ ( x ) ⁢ sgn ⁢ x ≥ 0 f ⁢ o ⁢ r ⁢ | x | > R .
  7. Ján Andres, Boundedness results of solutions to the equation x ′′′ + a ⁢ x ′′ + g ⁢ ( x ) ⁢ x ′ + h ⁢ ( x ) = p ⁢ ( t ) without the hypothesis h ⁢ ( x ) ⁢ sgn ⁡ x ≥ 0 for | x | > R .

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