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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 2, Pages 54–61
(Mi ivm9082)
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This article is cited in 4 scientific papers (total in 4 papers)
On solvability of the Cauchy problem for one quasilinear singular functional-differential equation
V. P. Plaksinaa, I. M. Plaksinab, E. V. Plekhovaa a Chair of Higher Mathematics, State National Research Polytechnical University of Perm, 29 Komsomolskii ave., Perm, 614990 Russia
b Chair of Workflow Automation, State National Research Polytechnical University of Perm, 29 Komsomolskii ave., Perm, 614990 Russia
Abstract:
We consider the Cauchy problem with zero initial conditions for quasilinear singular functional-differential equation of the second order with a delay at singular summand. We obtain sufficient conditions of solvability of the problem.
Keywords:
singular differential equation, Cauchy problem, functional-differential equation.
Received: 05.07.2014
Citation:
V. P. Plaksina, I. M. Plaksina, E. V. Plekhova, “On solvability of the Cauchy problem for one quasilinear singular functional-differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 54–61; Russian Math. (Iz. VUZ), 60:2 (2016), 46–51
Linking options:
https://www.mathnet.ru/eng/ivm9082 https://www.mathnet.ru/eng/ivm/y2016/i2/p54
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