Periodic points of multivalued mappings with applications to differential inclusions on tori.

DOI10.1016/S0166-8641(02)00104-9zbMath1034.34014OpenAlexW1988238496MaRDI QIDQ1868868

Jan Andres, Jerzy Jezierski, Lech Gorniewicz

Publication date: 28 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(02)00104-9

zbMATH Keywords

multivalued mappingsNielsen numberperiodic pointsLefschetz numberabsolute neighborhood retract spaces

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items

Convergence and stability of iterative algorithm for a new system of \((A,\eta )\)-accretive mapping inclusions in Banach spaces ⋮ On the coexistence of irreducible orbits of coincidences for multivalued admissible maps on the circle via Nielsen theory ⋮ Parametric topological entropy and differential equations with time-dependent impulses. II: Multivalued case ⋮ Coexistence of subharmonic periodic solutions having various periods of differential inclusions on the circle with admissible impulses of degrees \(D=-1,0,1\) ⋮ Randomization of Sharkovsky-type results on the circle ⋮ 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 ⋮ Relative Nielsen theory for noncompact spaces and maps ⋮ Chaos for Differential Equations with Multivalued Impulses

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