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A note on periodic solutions of second order nonautonomous singular coupled systems. (English) Zbl 1208.34051

Summary: We establish the existence of periodic solutions of the second order nonautonomous singular coupled systems
\[ x^{\prime\prime}+a_{1}(t)x=f_{1}(t,y(t))+e_{1}(t)\text{ for a.e. }t\in [0,T], \]
\[ y''+a_{2}(t)y=f_{2}(t,x(t))+e_{2}(t)\text{ for a.e. }t\in [0,T]. \]
The proof relies on Schauder’s fixed point theorem.

MSC:

34C25 Periodic solutions to ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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References:

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