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Vrábeľ, Róbert
Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation. (English). Mathematica Bohemica, vol. 121 (1996), issue 1, pp. 73-76
MSC: 34C25, 34E15, 35E10 | MR 1388177 | Zbl 0863.35026 | DOI: 10.21136/MB.1996.125946
Keywords:
singularly perturbed equation; periodic solution; $T$-periodic solution
Summary:
We examine the asymptotic behavior of $T$-periodic solutions of the singularly perturbed differential equation $y"=f(t,y)$ as a small parameter $\u$ tends to zero.
References:
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[2] S. Fučík, J. Mawhin: Periodic solutions of some nonlinear differential equations of higher order. Časopis Pěst. Mat. 100 (1975), 276-283. MR 0385240
[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.
[4] V. Šeda: On some non-linear boundary value problems for ordinary differential equations. Arch. Math. (Brno) 25 (1989), 207-222. MR 1188065
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