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About periodic solutions of systems of nonlinear differential-functional equations with small parameter. (Ukrainian. English summary) Zbl 1340.34253

Summary: We obtain sufficient conditions for existence and uniqueness of continuous periodic solutions of systems of nonlinear differential-functional equations with deviations of argument and a small parameter. We propose a method of construction of such solutions for given systems in the case when the parameter is equal to zero and in the case when it is different from zero. Furthermore, we investigated properties of such solutions when parameter tends to zero.

MSC:

34K13 Periodic solutions to functional-differential equations
34E10 Perturbations, asymptotics of solutions to ordinary differential equations
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