On the Cauchy problem for implicit differential equations of higher orders
DOI10.20310/2686-9667-2021-26-136-348-362OpenAlexW4205169315WikidataQ115233874 ScholiaQ115233874MaRDI QIDQ5092859
E. A. Pluzhnikova, Aram V. Arutyunov
Publication date: 26 July 2022
Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/vtamu236
Cauchy problemmetric spaceimplicit differential equationscovering mapfunctional spaceNemytsky operatordifferential equations of higher orders
Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20)
Cites Work
- Unnamed Item
- 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
- Coincidence points of two maps
- On coincidence points of multivalued vector mappings of metric spaces
- Covering mappings and well-posedness of nonlinear Volterra equations
- Covering mappings and their applications to differential equations unsolved for the derivative
- Covering mappings in metric spaces and fixed points
- Restrictive metric regularity and generalized differential calculus in Banach spaces
- On controlling objects whose motion is defined by implicit nonlinear differential equations
- On coincidence points for vector mappings
- On iterative methods for solving equations with covering mappings
- Metric regularity and subdifferential calculus
- On the cardinality of the coincidence set for mappings of metric, normed and partially ordered spaces
This page was built for publication: On the Cauchy problem for implicit differential equations of higher orders
