Geodesic
On a periodic neutral logistic equation
Glasgow mathematical journal, Tome 33 (1991) no. 3, pp. 281-286

Voir la notice de l'article provenant de la source Cambridge University Press

The oscillatory and asymptotic behaviour of the positive solutions of the autonomous neutral delay logistic equationwith r, c, T, K ∈ (0, ∞) has been recently investigated in [2]. More recently the dynamics of the periodic delay logistic equationin which r, K are periodic functions of period τ and m is a positive integer is considered in [6]. The purpose of the following analysis is to obtain sufficient conditions for the existence and linear asymptotic stability of a positive periodic solution of a periodic neutral delay logistic equationin which Ṅ denotes and r, K, c are positive continuous periodic functions of period τ at and m is a positive integer. For the origin and biological relevance of (1.3) we refer to [2]. 
Gopalsamy, K.; He, Xue-Zhong; Wen, Lizhi. On a periodic neutral logistic equation. Glasgow mathematical journal, Tome 33 (1991) no. 3, pp. 281-286. doi: 10.1017/S001708950000834X
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[1] 1.El'sgol'ts, L. E. and Norkin, S. B., Introduction to the theory and application of differential equations with deviating arguments (Academic Press, 1973). Google Scholar

[2] 2.Gopalsamy, K. and Zhang, B. G., On a neutral delay logistic equation, Dynamic Stability Systems 2 (1988), 183–195. Google Scholar | DOI

[3] 3.Halanay, A., Differential equations; stability, oscillations and time lags (Academic Press, 1965), 377–383. Google Scholar

[4] 4.Kolmanovskii, V. B. and Nosov, V. R., Stability of functional differential equations (Academic Press, 1986). Google Scholar

[5] 5.Yoshizawa, T., Stability theory and the existence of periodic solutions and almost periodic solutions, Applied Mathematical Sciences 14 (Springer-Verlag, 1975). Google Scholar | DOI

[6] 6.Zhang, B. G. and Gopalsamy, K., Global attractivity and oscillations in a periodic delay logistic equation, J. Math. Anal. Appl. 150 (1990), 274–283. Google Scholar | DOI

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