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Article

Keywords:
singularly perturbed periodic boundary value problem
Summary:
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.
References:
[1] Mawhin, J.: Points fixes, points critiques et problèmes aux limites. Sémin. Math. Sup. no. 92, Press Univ. Montréal, Montréal (1985). MR 0789982 | Zbl 0561.34001
[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 1388177
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