Geodesic
Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations
Applications of Mathematics, Tome 49 (2004) no. 3, pp. 269-284.

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The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions remain valid.
DOI : 10.1023/B:APOM.0000042366.62321.55
Classification : 34A45, 34C25, 42A10
Keywords: oscillation problem; periodic differential equation; periodic solution; $\omega $-periodic solution; trigonometric polynomial; trigonometric approximation; Gram’s determinant 
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Fischer, Alexandr. Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations. Applications of Mathematics, Tome 49 (2004) no. 3, pp. 269-284. doi : 10.1023/B:APOM.0000042366.62321.55. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000042366.62321.55/

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