Geodesic
Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation
Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 73-76

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MR Zbl
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.
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.
DOI : 10.21136/MB.1996.125946
Classification : 34C25, 34E15, 35E10
Keywords: singularly perturbed equation; periodic solution; $T$-periodic solution 
Vrábeľ, Róbert. Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation. Mathematica Bohemica, Tome 121 (1996) no. 1, pp. 73-76. doi: 10.21136/MB.1996.125946
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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. | MR

[2] S. Fučík, J. Mawhin: Periodic solutions of some nonlinear differential equations of higher order. Časopis Pěst. Mat. 100 (1975), 276-283. | MR

[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

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