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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2017 Volume 22, Issue 3, Pages 579–584 (Mi vtamu116)

Scientific articles

Continuous dependence on parameters of solutions to boundary-value problems for a system of implicit differential equations with deviating argument

V. S. Treshchev

Tambov State University named after G.R. Derzhavin

Abstract: Conditions are offered that ensure a continuous dependence on the parameters solutions of the boundary value problem for a system of implicit differential equations with a deviating argument. The method used in this paper is based on the results on vector-covering mappings obtained by E.S. Zhukovsky.

Keywords: a system of differential equations, a boundary-value problem, vector covering mappings, metric spaces.

UDC: 517.988.5, 517.922

Received: 17.04.2017

DOI: 10.20310/1810-0198-2017-22-3-579-584



© Steklov Math. Inst. of RAS, 2024