Applications of covering mappings in the theory of implicit differential equations

DOI10.1007/S10958-021-05617-7OpenAlexW3210208230WikidataQ115382125 ScholiaQ115382125MaRDI QIDQ2240155

T. V. Zhukovskaya, N. P. Puchkov, Evgenii Burlakov, Evgeny S. Zhukovskiy

Publication date: 8 November 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05617-7

zbMATH Keywords

Cauchy problemmetric spaceboundary-value problemimplicit differential equationcovering mappingpartially ordered spacepoint of coincidence of mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differential inequalities involving functions of a single real variable (34A40)

Related Items (2)

Inclusions with mappings acting from a metric space to a space with distance ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Covering mappings in a product of metric spaces and boundary value problems for differential equations unsolved for the derivative
• On the well-posedness of differential equations unsolved for the derivative
• On covering properties in variational analysis and optimization
• Perturbations of vectorial coverings and systems of equations in metric spaces
• Covering mappings and their applications to differential equations unsolved for the derivative
• Locally covering maps in metric spaces and coincidence points
• Coincidence points of mappings in vector metric spaces with applications to differential equations and control systems
• On coincidence points for vector mappings
• Local solvability of control systems with mixed constraints
• An iterative method for finding coincidence points of two mappings
• On iterative methods for solving equations with covering mappings

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