A generalized Nielsen number and multiplicity results for differential inclusions

DOI10.1016/S0166-8641(98)00092-3zbMath0940.55007OpenAlexW2062774028MaRDI QIDQ1962101

Jerzy Jezierski, Jan Andres, Lech Gorniewicz

Publication date: 24 July 2000

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00092-3

zbMATH Keywords

differential inclusionNielsen coincidence number

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (13)

Nontrivial application of Nielsen theory to differential systems ⋮ On the coexistence of irreducible orbits of coincidences for multivalued admissible maps on the circle via Nielsen theory ⋮ Unnamed Item ⋮ Parametric topological entropy and differential equations with time-dependent impulses. II: Multivalued case ⋮ Randomization of Sharkovsky-type results on the circle ⋮ Multiple anti-periodic solutions of implicit differential inclusions on tori ⋮ Coexistence of periodic solutions with various periods of impulsive differential equations and inclusions on tori via Poincaré operators ⋮ Nielsen number, impulsive differential equations and problem of Jean Leray ⋮ Positive oriented periodic solutions of the first-order complex ODE with polynomial nonlinear part ⋮ Relative Nielsen theory for noncompact spaces and maps ⋮ Chaos for Differential Equations with Multivalued Impulses ⋮ Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori ⋮ Periodic points of multivalued mappings with applications to differential inclusions on tori.

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