This article is cited in 5 papers

On almost reducible systems with almost periodic coefficients

V. L. Novikov

Moscow Power Engineering Institute

Abstract: Let $\dot x=A(t)x$ be a system of two linear ordinary differential equations with almost periodic coefficients. Then there exists for any positive $\varepsilon$ an almost reducible system of equations $\dot x=B(t)x$ with almost periodic coefficients and such that
$$ \sup_{-\infty<t<+\infty}\|A(t)-B(t)\|<\varepsilon. $$


UDC: 519.4

Received: 31.08.1973

 English version: Mathematical Notes, 1974, 16:5, 1065–1071

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