Nielsen fixed point theory and nonlinear equations

DOI10.1006/JDEQ.1993.1110zbMath0839.47041OpenAlexW1999111482MaRDI QIDQ1318258

Michal Fečkan

Publication date: 24 June 1996

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

Full work available at URL: https://doi.org/10.1006/jdeq.1993.1110

zbMATH Keywords

positive solutionsdifferential equationsmultiple periodic solutionsintegro-partial differential equationsMawhin's coincidence degreelinear Fredholm operatorNielsen-Wecken fixed point theory

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions of integral equations (45M15) Degree theory for nonlinear operators (47H11) General theory of ordinary differential operators (47E05) (Semi-) Fredholm operators; index theories (47A53) Integro-differential operators (47G20) Positive solutions of integral equations (45M20)

Related Items (5)

Nontrivial application of Nielsen theory to differential systems ⋮ Construction of multiply fixed \(n\)-valued maps ⋮ Positive oriented periodic solutions of the first-order complex ODE with polynomial nonlinear part ⋮ Multiple bounded solutions of differential inclusions: The Nielsen theory approach ⋮ A nontrivial example of application of the Nielsen fixed-point theory to differential systems: Problem of Jean Leray

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