Conley index for manifold-valued retarded functional differential equations without uniqueness of solutions

DOI10.1017/prm.2021.15zbMath1497.37019OpenAlexW3155139468WikidataQ115337079 ScholiaQ115337079MaRDI QIDQ5070602

Maria C. Carbinatto, Krzysztof P. Rybakowski

Publication date: 13 April 2022

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2021.15

zbMATH Keywords

Conley indexinfinite-dimensional dynamical systemsfunctional-differential equations on manifolds

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Ordinary differential equations and systems on manifolds (34C40) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items

Partial functional differential equations and Conley index

Cites Work

• Unnamed Item
• The homotopy index and partial differential equations
• Introduction to functional differential equations
• Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski.
• Delay equations. Functional-, complex-, and nonlinear analysis
• Conley index and homology index braids in singular perturbation problems without uniqueness of solutions
• Functional differential equations on compact manifolds and an approximation theorem
• The generic property of existence of solutions of differential equations in Banach space
• On the Conley index in Hilbert spaces in the absence of uniqueness
• On a general Conley index continuation principle for singular perturbation problems
• Conley index continuation for some classes of RFDEs on manifolds
• Retarded Functional Differential Equations on Manifolds and Applications to Motion Problems for Forced Constrained Systems
• On the Homotopy Index for Infinite-Dimensional Semiflows