The index at infinity for some vector fields with oscillating nonlinearities

DOI10.3934/DCDS.2000.6.165zbMath1023.47041OpenAlexW2025946456MaRDI QIDQ1576891

Alexander M. Krasnosel'skii, Jean Mawhin

Publication date: 16 August 2000

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

Full work available at URL: https://doi.org/10.3934/dcds.2000.6.165

zbMATH Keywords

existenceHammerstein integral equationsBanach spacetwo-point boundary value problemasymptotical behaviorcompletely continuous vector fieldtopological index at infinity

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20)

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On resonant differential equations with unbounded non-linearities

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