Unbounded sequences of cycles in general autonomous equations with periodic nonlinearities

DOI10.3934/DCDSS.2013.6.999zbMATH Open1281.34038OpenAlexW2323488703MaRDI QIDQ1942819

Alexander Krasnosel'skij

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2013.6.999

zbMATH Keywords

method of stationary phasecyclesresonanceautonomous equationshigher-order ordinary differential equationsperiodic nonlinearityunbounded set of solutions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Growth and boundedness of solutions to ordinary differential equations (34C11)

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