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On a class of quasiperiodic solutions of differential systems. (Russian. English summary) Zbl 0756.34049
Consider the system of differential equation (*) \(x'=X(t,x)\), \(x\in R^ n\), where the \(n\)-vector \(X(t,x)\) is a continuous function on \(R\times D\), \(D\subset R^ n\), and it is quasiperiodic with respect to \(t\). The author gives a result concerning the existence of one class of quasiperiodic solutions for (*).
MSC:
34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
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