On a periodic neutral logistic equation. (English) Zbl 0737.34050

The authors consider a periodic logistic differential equation of neutral type with coefficients of period equal to the delay. Associating a periodic ordinary differential equation to the logistic one, the authors prove the existence of a nontrivial periodic solution for the original equation. Furthermore assuming the delay and some coefficients of the equation small enough, they obtain the local stability of the related periodic solution.
Reviewer: M.Lizana (Caracas)


34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C25 Periodic solutions to ordinary differential equations
34K20 Stability theory of functional-differential equations
34K10 Boundary value problems for functional-differential equations
Full Text: DOI


[1] DOI: 10.1016/0022-247X(90)90213-Y · Zbl 0711.34090
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[4] Halanay, Differential equations; stability, oscillations and time lags pp 377– (1965)
[5] DOI: 10.1080/02681118808806037 · Zbl 0665.34066
[6] Kolmanovskii, Stability of functional differential equations (1986)
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