The Bowen-Franks type theorems for multivalued maps and impulsive differential equations

Set-valued maps in general topology (54C60) Entropy in general topology (54C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40) Boundary value problems with impulses for ordinary differential equations (34B37)

Cites Work

Multiple local solutions to nonlinear control processes
Periodic orbits with least period three on the circle
The periodic points of maps of the disk and the interval
Topological identification of multiple solutions to parametrized nonlinear equations
Estimation of the number of periodic orbits
A generalized Nielsen number and multiplicity results for differential inclusions
The minimal number of periodic orbits of periods guaranteed in Sharkovskii's theorem
Lower bounds of the topological entropy for continuous maps of the circle of degree one
A Nielsen number for fixed points and near points of small multifunctions
Nielsen Numbers of Maps of Tori
Mappings of the Interval with Finitely Many Periodic Points Have Zero Entropy
The specification property on a set-valued map and its inverse limit
Chaos for Differential Equations with Multivalued Impulses
Sharkovsky Ordering
Topological entropy on set-valued functions
Topological Entropy
Entropy for Group Endomorphisms and Homogeneous Spaces
δ-Continuous Selections of Small Multifunction
Homotopy for small multifunctions
Dynamical systems generated by functions with connected \(G_\delta\) graphs
Parametric topological entropy and differential equations with time-dependent impulses. II: Multivalued case
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