Quasilinear and quadratic singularly perturbed periodic boundary value problem
Archivum mathematicum, Tome 36 (2000) no. 1, pp. 1-7
The problem of existence and asymptotic behavior of solutions of the quasilinear and quadratic singularly perturbed periodic boundary value problem as a small parameter at highest derivative tends to zero is studied.
The problem of existence and asymptotic behavior of solutions of the quasilinear and quadratic singularly perturbed periodic boundary value problem as a small parameter at highest derivative tends to zero is studied.
Classification :
34B15, 34C25, 34E15
Keywords: singularly perturbed periodic boundary value problem
Keywords: singularly perturbed periodic boundary value problem
@article{ARM_2000_36_1_a0,
author = {Vr\'abe\v{l}, R\'obert},
title = {Quasilinear and quadratic singularly perturbed periodic boundary value problem},
journal = {Archivum mathematicum},
pages = {1--7},
year = {2000},
volume = {36},
number = {1},
mrnumber = {1751608},
zbl = {1048.34094},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a0/}
}
Vrábeľ, Róbert. Quasilinear and quadratic singularly perturbed periodic boundary value problem. Archivum mathematicum, Tome 36 (2000) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/ARM_2000_36_1_a0/
[1] Mawhin, J.: Points fixes, points critiques et problèmes aux limites. Sémin. Math. Sup. no. 92, Press Univ. Montréal, Montréal (1985). | MR | Zbl
[2] Šeda, V.: On some non-linear boundary value problems for ordinary differential equations. Arch. Math. (Brno) 25 (1989), 207–222.
[3] Vrábel’, R.: Asymptotic behavior of T-periodic solutions of singularly perturbed second-order differential equation. Mathematica Bohemica 121 (1996), 73–76. | MR