On the multivalued Poincaré operators

DOI10.12775/TMNA.1997.027zbMath0909.47038OpenAlexW2589964881MaRDI QIDQ1386871

Jan Andres

Publication date: 28 March 1999

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

Full work available at URL: https://doi.org/10.12775/tmna.1997.027

zbMATH Keywords

differential inclusionsnonlinear oscillationstarget problemforced nonlinear oscillationsadmissible Poincaré multivalued operatorsgeneralized topological invariantsMarchaud mapsmultivalued translation operatorPoincaré-Andronov mapRothe-type generalization of the Brouwer fixed point theorem

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set-valued operators (47H04) Set-valued and function-space-valued mappings on manifolds (58C06) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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