On order covering maps in ordered spaces and Chaplygin-type inequalities

DOI10.1090/spmj/1530OpenAlexW2902498732WikidataQ128821658 ScholiaQ128821658MaRDI QIDQ4562022

Evgeny S. Zhukovskiy

Publication date: 14 December 2018

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1530

zbMATH Keywords

orderly covering mappingsimplicit integral equationChaplygin's type theorems about integral inequalitiessolvabitity of equations in ordered spaces

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Equations and inequalities involving nonlinear operators (47J99) Applications of functional analysis to differential and integral equations (46N20)

Related Items (9)

On one inclusion with a mapping acting from a partially ordered set to a set with a reflexive binary relation ⋮ On a control problem for a system of implicit differential equations ⋮ Coincidence points of two mappings acting from a partially ordered space to an arbitrary set ⋮ Unnamed Item ⋮ Functional and differential inequalities and their applications to control problems ⋮ Two-sided estimates for solutions of boundary value problems for implicit differential equations ⋮ On Chaplygin’s theorem for an implicit differential equation of order n ⋮ Superpositional measurability of a multivalued function under generalized Caratheodory conditions ⋮ A method for studying integral equations by using a covering set of the Nemytskii operator in spaces of measurable functions

Cites Work

• Coincidence points principle for mappings in partially ordered spaces
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