Abstract.
Optimal in a certain sense sufficient conditions are given for the existence and uniqueness of ω-periodic solutions of the nonautonomous ordinary differential equation u(2m)=f(t,u,...,u(m-1)), where the function f:ℝ×ℝm→ℝ is periodic with respect to the first argument with period ω.
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Received: December 21, 1999; in final form: August 12, 2000¶Published online: October 2, 2001
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Kiguradze, I., Kusano, T. On periodic solutions of even-order ordinary differential equations. Ann. Mat. Pura Appl. IV. Ser. 180, 285–301 (2001). https://doi.org/10.1007/s102310100012
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DOI: https://doi.org/10.1007/s102310100012