Coexistence of periodic solutions with various periods of impulsive differential equations and inclusions on tori via Poincaré operators

DOI10.1016/j.topol.2019.01.008zbMath1418.34093OpenAlexW2915025856MaRDI QIDQ1725672

Jan Andres

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.01.008

zbMATH Keywords

Poincaré translation operatorscoexistence of subharmonics on toriimpulsive differential equations and inclusionsmultivalued admissible mapsSharkovsky-type theorems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Ordinary differential equations and systems on manifolds (34C40) Combinatorial dynamics (types of periodic orbits) (37E15) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (6)

Existence for impulsive semilinear functional differential inclusions ⋮ Mild solutions for nonlinear impulsive functional differential inclusions with nonlocal conditions ⋮ Coexistence of subharmonic periodic solutions having various periods of differential inclusions on the circle with admissible impulses of degrees \(D=-1,0,1\) ⋮ Multiple anti-periodic solutions of implicit differential inclusions on tori ⋮ Nielsen number, impulsive differential equations and problem of Jean Leray ⋮ Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori

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