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Asymptotic conditions for periodic solutions of ordinary differential equations. (English) Zbl 0461.34029

MSC:
34C25 Periodic solutions to ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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[2] Svatopluk Fučík and Vladimír Lovicar, Periodic solutions of the equation \?^{\(^{\prime}\)\(^{\prime}\)}(\?)+\?(\?(\?))=\?(\?), Časopis Pěst. Mat. 100 (1975), no. 2, 160 – 175.
[3] Chaitan P. Gupta, On functional equations of Fredholm and Hammerstein type with applications to existence of periodic solutions of certain ordinary differential equations, J. Integral Equations 3 (1981), no. 1, 21 – 41. · Zbl 0457.34040
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[8] R. Reissig, Periodic solutions of certain higher order differential equations, Nonlinear Anal. 2 (1978), no. 5, 635 – 642. · Zbl 0385.34019
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