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

Gopalsamy, K.; He, Xue-Zhong; Wen, Lizhi

Glasg. Math. J. 33, No. 3, 281-286 (1991).

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)

MSC:

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

Keywords:

periodic logistic differential equation of neutral type; periodic solution; local stability

References:

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