Dynamic properties of first-order equations with large delay
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 58-62

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The local dynamic of the first-order differential equation with large delay is studied. The method of research is based on the normal forms theory. In critical cases having infinite dimensions, special evolutional equations playing the role of normal form are built. Different cases of correlation between the order of coefficient variance from critical values and order of delay are studied.
@article{MAIS_2007_14_2_a12,
     author = {I. S. Kashchenko},
     title = {Dynamic properties of first-order equations with large delay},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {58--62},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a12/}
}
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I. S. Kashchenko. Dynamic properties of first-order equations with large delay. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 58-62. http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a12/