Asymptotic behavior of T -periodic solutions of singularly perturbed second-order differential equation

Róbert Vrábeľ

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 1, page 73-76
  • ISSN: 0862-7959

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Vrábeľ, Róbert. "Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation." Mathematica Bohemica 121.1 (1996): 73-76. <http://eudml.org/doc/247965>.

@article{Vrábeľ1996,
abstract = {},
author = {Vrábeľ, Róbert},
journal = {Mathematica Bohemica},
keywords = {singularly perturbed equation; periodic solution; $T$-periodic solution; singularly perturbed equation; periodic solution},
language = {eng},
number = {1},
pages = {73-76},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation},
url = {http://eudml.org/doc/247965},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Vrábeľ, Róbert
TI - Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 1
SP - 73
EP - 76
AB -
LA - eng
KW - singularly perturbed equation; periodic solution; $T$-periodic solution; singularly perturbed equation; periodic solution
UR - http://eudml.org/doc/247965
ER -

References

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  1. S. Fučík, V. Lovicar, Periodic solutions of the equation x " ( t ) + g ( x ( t ) ) = p ( t ) , Časopis Pěst. Mat. 100 (1975), 160-175. (1975) MR0385239
  2. S. Fučík, J. Mawhin, Periodic solutions of some nonlinear differential equations of higher order, Časopis Pěst. Mat. 100 (1975), 276-283. (1975) MR0385240
  3. J. Mawhin, Nonlinear perturbations of Fredholm mappings in normed spaces and applications to differential equations, Trabalho de Matematica, No. 61. Universidad de Brasilia, 1974. (1974) 
  4. V. Šeda, On some non-linear boundary value problems for ordinary differential equations, Arch. Math. (Brno) 25 (1989), 207-222. (1989) MR1188065

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