Geodesic
Estimation of the region of global stability of the equilibrium state of the logistic equation with delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2020), pp. 39-55

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We study the question of determining all those parameters for which all positive solutions of the logistic equation with delay tend to zero as $ t \to \infty $. The well-known Wright conjecture [1] on the estimation of the set of such parameters is proved. A methodology has been developed that makes it possible to consistently refine this estimate.
Keywords: logistic equation, global stable, delay, one-dimensional mapping, asymptotics of solutions. 
@article{IVM_2020_9_a3,
     author = {S. A. Kaschenko and D. O. Loginov},
     title = {Estimation of the region of global stability of the equilibrium state of the logistic equation with delay},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {39--55},
     publisher = {mathdoc},
     number = {9},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_9_a3/}
}
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S. A. Kaschenko; D. O. Loginov. Estimation of the region of global stability of the equilibrium state of the logistic equation with delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2020), pp. 39-55. http://geodesic.mathdoc.fr/item/IVM_2020_9_a3/