Nontrivial application of Nielsen theory to differential systems

DOI10.1016/J.JDE.2006.05.016zbMath1113.34006OpenAlexW2003762182MaRDI QIDQ859513

Tomáš Fürst, Jan Andres

Publication date: 16 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.05.016

zbMATH Keywords

Nielsen numberthree periodic solutionslower estimate of solutionsno subdomainnontrivial example

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Ordinary differential inclusions (34A60)

Cites Work

• The number and linking of periodic solutions of periodic systems
• Multiple local solutions to nonlinear control processes
• The number of linking of periodic solutions of nondissipative systems
• Multiple bounded solutions of differential inclusions: The Nielsen theory approach
• Nielsen fixed point theory and nonlinear equations
• Multiple periodic solutions of small vector fields on differentiable manifolds
• Parametrized singular boundary value problems
• Topological identification of multiple solutions to parametrized nonlinear equations
• A generalized Nielsen number and multiplicity results for differential inclusions
• Nielsen number and differential equations
• An example of application of the Nielsen theory to integro-differential equations
• Lectures on Nielsen fixed point theory
• Waveform in the dynamical study of ordinary differential equations
• Differential Equations with Nonlinear Boundary Conditions
• A nontrivial example of application of the Nielsen fixed-point theory to differential systems: Problem of Jean Leray
• Isolating segments for Carathéodory systems and existence of periodic solutions
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