Geodesic
On nonlinear differential equations of neutral type with impulse control
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 24-25 Cet article a éte moissonné depuis la source Math-Net.Ru

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The formalization of concept of the solution for the differential equations of neutral type with the distributions in the right part is performed. Sufficient conditions providing existence so the formalized solution are received. The integral equation describing so the formalized solution is obtained. Illustrating examples are resulted.
Keywords: differential equations of neutral type, systems with time delay, impulse control, functions of bounded variation. 
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A. N. Sesekin; Ya. A. Veshkurova. On nonlinear differential equations of neutral type with impulse control. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 24-25. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a9/

[1] Schwartz L., Theory des Distributions, Hermann, Paris, 1950–1951 | Zbl

[2] Zavalischin S.T., Sesekin A.N., Impulsnye protsessy: modeli i prilozheniya, Nauka, M., 1991, 240 pp.