Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows

DOI10.12775/TMNA.2000.031zbMath0991.47040OpenAlexW2121183930MaRDI QIDQ5929995

Lech Gorniewicz, Jerzy Jezierski, Jan Andres

Publication date: 17 April 2001

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2000.031

zbMATH Keywords

differential inclusionsexistenceadmissible semi-flowscompact absorbing contractionsContractionExcisionfixed point indexlower estimates of coincidencesmultiplicity criteriaNielsen fixed point theoremsNormalizationperiodic trajectoriesVietoris map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Ordinary differential inclusions (34A60) Fixed points and coincidences in algebraic topology (55M20) Set-valued and function-space-valued mappings on manifolds (58C06)

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Periodic solutions of dissipative systems revisited ⋮ Parametric topological entropy and differential equations with time-dependent impulses. II: Multivalued case ⋮ Randomization of Sharkovsky-type results on the circle ⋮ Morse connection graphs for piecewise constant vector fields on surfaces ⋮ 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 ⋮ Unnamed Item ⋮ Relative Nielsen theory for noncompact spaces and maps ⋮ Periodic solutions in a given set of differential systems ⋮ Chaos for Differential Equations with Multivalued Impulses ⋮ Periodic points of multivalued mappings with applications to differential inclusions on tori.

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