Geodesic
Relaxation Oscillations in a Logistic Equation
Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 833-847

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A logistic equation with state- and parameter-dependent delay is considered. The existence of a nonlocal relaxation periodic solution of this equation is proved for sufficiently large parameter values. The proof is carried out by using the large parameter method. For large parameter values, asymptotic estimates of the main characteristics of this solution are also constructed.
Keywords: delay equation, large parameter method.
Mots-clés : relaxation solution 
@article{MZM_2020_107_6_a2,
     author = {V. O. Golubenets},
     title = {Relaxation {Oscillations} in a {Logistic} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {833--847},
     publisher = {mathdoc},
     volume = {107},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a2/}
}
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V. O. Golubenets. Relaxation Oscillations in a Logistic Equation. Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 833-847. http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a2/