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Stationary oscillations of retarded systems. (Chinese. English summary) Zbl 0927.34051

Summary: Stationary oscillations of periodic retarded systems are investigated. A necessary and sufficient condition on the existence of stationary oscillations of general retarded systems is given, and a practical result is given for nonperiodic systems. Stationary oscillations of large-scale periodic retarded systems are investigated under weakest conditions on isolated subsystems.

MSC:

34K11 Oscillation theory of functional-differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34K12 Growth, boundedness, comparison of solutions to functional-differential equations
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