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On some questions of periodic solutions for differential equations with maxima and with a small parameter. (Russian. English summary) Zbl 0753.34050
Summary: We investigate the existence and uniqueness of periodic solutions for differential equations with maxima and a small parameter of the type \[ \dot y(t)=F_ 1(t,y(t),\max_{\tau\in[t-h,t]}y(\tau))+\mu F_ 2(t,y(t),\max_{\tau\in[t-h,t]}y(\tau),\mu). \]
MSC:
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34E15 Singular perturbations for ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
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