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JOURNALS // Russian Universities Reports. Mathematics // Archive

Tambov University Reports. Series: Natural and Technical Sciences, 2018 Volume 23, Issue 123, Pages 566–574 (Mi vtamu59)

This article is cited in 2 papers

Scientific articles

About existence and estimates of solutions of the implicit differential equation with autoadjustable deviation argument

I. D. Serova, A. A. Repin

Tambov State University named after G.R. Derzhavin

Abstract: Conditions of a solubility and assessment of solutions of an implicit differential equation with autoadjustable (that is depending on required function) argument deviation are received. Results about the covering displays of partially ordered spaces are used.

Keywords: the implicit differential equation with autoadjustable deviation argument, Cauchy’s task, the covering display is ordered, differential inequality.

UDC: 517.988.6, 517.929, 517.922

Received: 13.04.2018

DOI: 10.20310/1810-0198-2018-23-123-566-574



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© Steklov Math. Inst. of RAS, 2026