Geodesic
Relaxation oscillations in the simplest models with delay
Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 2, pp. 55-60.

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We study nonlocal dynamics of equation with delay provided that nonlinear terms are described by a finitary function. The conditions for existence and stability of periodic solutions are found. We generalize the obtained results to study complex equations. 
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S. A. Kashchenko; A. S. Polst'yanov. Relaxation oscillations in the simplest models with delay. Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 2, pp. 55-60. http://geodesic.mathdoc.fr/item/MAIS_2008_15_2_a8/

[1] S. A. Kaschenko, “Asimptotika relaksatsionnykh kolebanii differentsialno-raznostnykh sistem s finitnoi nelineinostyu. I”, Dif. uravneniya, 31:8 (1995), 1330–1339

[2] S. A. Kaschenko, “Asimptotika relaksatsionnykh kolebanii differentsialno-raznostnykh sistem s finitnoi nelineinostyu. II”, Dif. uravneniya, 31:10 (1995), 1968–1976

[3] S. A. Kaschenko, “Sravnitelnyi asimptoticheskii analiz dinamiki avtogeneratorov s razlichnymi nelineinymi zapazdyvayuschimi svyazyami”, Fundamentalnaya i prikladnaya matematika, 5:4 (1999), 1027–1060 | MR

[4] Yu. L. Maistrenko, E. N. Romanenko, A. N. Sharkovskii, Raznostnye uravneniya i ikh prilozheniya, Naukova Dumka, Kiev, 1986 | MR