## The existence of periodic solutions of $$f'(x)=-\alpha f(x-1)(1+f(x))$$.(English)Zbl 0106.29504

### Keywords:

ordinary differential equations
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### References:

 [1] Wright, E.M., A non-linear difference-differential equation, J. reine angew. math., 194, 66-87, (1955) · Zbl 0064.34203 [2] Cunningham, W.J., A non-linear differential-difference equation of growth, (), 709-713 · Zbl 0055.31601 [3] Kakutani, S.; Markus, L., On the non-linear difference-differential equation y′(t) = [A − by(t − τ)] y(t), (), 1-18 · Zbl 0082.30301 [4] Browder, Felix E., On a generalization of the Schauder fixed point theorem, Duke math. J., 26, 291-303, (1959) · Zbl 0086.10203 [5] Jones, G.Stephen, Asymptotic behavior and periodic solutions of a nonlinear differential-difference equation, (), June · Zbl 0099.29502 [6] Jones, G.Stephen, On the nonlinear differential-difference equation $$ƒ′(x) = − αƒ(x − 1)[1 + ƒ(x)]$$, J. math. anal. and appl., 4, No. 3, 440-469, (1962) · Zbl 0106.29503
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