Covering mappings in a product of metric spaces and boundary value problems for differential equations unsolved for the derivative

DOI10.1134/S0012266113040034zbMath1280.34004OpenAlexW2079737510MaRDI QIDQ362467

E. A. Pluzhnikova, Evgeny S. Zhukovskiy

Publication date: 22 August 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113040034

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Special maps on metric spaces (54E40)

Related Items (11)

On coincidence points for vector mappings ⋮ On the Cauchy problem for implicit differential equations of higher orders ⋮ One method for investigating the solvability of boundary value problems for an implicit differential equation ⋮ Inclusions with mappings acting from a metric space to a space with distance ⋮ On operator inclusions in spaces with vector-valued metrics ⋮ Unnamed Item ⋮ Applications of covering mappings in the theory of implicit differential equations ⋮ Perturbations of vectorial coverings and systems of equations in metric spaces ⋮ On covering mappings in generalized metric spaces in studying implicit differential equations ⋮ On coincidence points of mappings in generalized metric spaces ⋮ A method for studying integral equations by using a covering set of the Nemytskii operator in spaces of measurable functions

Cites Work

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• Covering mappings and well-posedness of nonlinear Volterra equations
• Covering mappings and their applications to differential equations unsolved for the derivative
• Stability of coincidence points and properties of covering mappings
• Covering mappings in metric spaces and fixed points
• Locally covering maps in metric spaces and coincidence points
• Local solvability of control systems with mixed constraints
• Existence of local solutions in constrained dynamic systems
• Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions

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