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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 50–51
(Mi iimi21)
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This article is cited in 1 scientific paper (total in 1 paper)
On solvability conditions of a boundary value problem for a nonlinear abstract functional-differential equation
E. S. Zhukovskiia, T. V. Zhukovskayab a Institute of Mathematics, Physics and Information Science, Tambov State University
b Tambov State Technical University
Abstract:
A nonlinear abstract functional-differential equation in metric space is under discussion. To equations as such there can be brought, under a proper choice of a metric space, ѕclassicalї functional-differential equations not necessarily explicit, singular equations, impulsive equations, and others. The solvability conditions for boundary value problems are derived. The methods of covering mappings theory are used.
Keywords:
nonlinear abstract functional-differential equation, boundary value problem, covering mapping of metric spaces.
Received: 15.02.2012
Citation:
E. S. Zhukovskii, T. V. Zhukovskaya, “On solvability conditions of a boundary value problem for a nonlinear abstract functional-differential equation”, Izv. IMI UdGU, 2012, no. 1(39), 50–51
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https://www.mathnet.ru/eng/iimi21 https://www.mathnet.ru/eng/iimi/y2012/i1/p50
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Abstract page: | 159 | Full-text PDF : | 83 | References: | 40 |
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