Note to the existence of periodic solutions for higher-order differential equations with nonlinear restoring term and time-variable coefficients

Ján Andres; Vladimír Vlček

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1991)

  • Volume: 30, Issue: 1, page 149-157
  • ISSN: 0231-9721

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Andres, Ján, and Vlček, Vladimír. "Note to the existence of periodic solutions for higher-order differential equations with nonlinear restoring term and time-variable coefficients." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 30.1 (1991): 149-157. <http://eudml.org/doc/23533>.

@article{Andres1991,
author = {Andres, Ján, Vlček, Vladimír},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {periodic solution; Leray-Schauder continuation theorem},
language = {eng},
number = {1},
pages = {149-157},
publisher = {Palacký University Olomouc},
title = {Note to the existence of periodic solutions for higher-order differential equations with nonlinear restoring term and time-variable coefficients},
url = {http://eudml.org/doc/23533},
volume = {30},
year = {1991},
}

TY - JOUR
AU - Andres, Ján
AU - Vlček, Vladimír
TI - Note to the existence of periodic solutions for higher-order differential equations with nonlinear restoring term and time-variable coefficients
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1991
PB - Palacký University Olomouc
VL - 30
IS - 1
SP - 149
EP - 157
LA - eng
KW - periodic solution; Leray-Schauder continuation theorem
UR - http://eudml.org/doc/23533
ER -

References

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  1. Andres J., Existence of periodic solutions for an N-th order differential equation with nonlinear restoring term and time-variable coefficients, (Preprint No. 579, September 1989, Univ. of Utrecht). (1989) MR1165251
  2. Fučík S., Mawhin J., Periodic solutions of some nonlinear differential equation of higher order, Čas. Pěst. Mat. 100 (1975), 276-283. (1975) MR0385240
  3. Lasota A., Szafraniec F.H., Sur les solutions périodique d’une équation différentielle ordinaire d’ordre n, Annal. Polon. Math. 18 (1966), 339-344. (1966) MR0208077

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