On resonant differential equations with unbounded non-linearities

DOI10.4171/ZAA/1100zbMath1025.34032OpenAlexW1984438961MaRDI QIDQ1848659

N. A. Kuznetsov, Alexander M. Krasnosel'skii, Dmitrii I. Rachinskii

Publication date: 21 January 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1100

zbMATH Keywords

differential equationunbounded nonlinearitynontrivial cycle

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions of integral equations (45M15) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Degree theory for nonlinear operators (47H11) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (2)

On the number of unbounded solution branches in a neighborhood of an asymptotic bifurcation point ⋮ Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis

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