Multiple solutions for an asymptotically linear Duffing equation with Neumann boundary value conditions

DOI10.1016/J.NA.2011.01.003zbMath1228.34034OpenAlexW2075331639MaRDI QIDQ531672

Keqiang Li

Publication date: 19 April 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.01.003

zbMATH Keywords

Morse theorymultiple solutionsresonanceDuffing equationNeumann problemindex theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of operator theory to differential and integral equations (47N20)

Related Items (2)

Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers ⋮ On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs

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