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Multiple solutions for asymptotically linear Duffing equations with Neumann boundary value conditions. II

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Publication:1947442
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DOI10.1016/j.jmaa.2012.12.003zbMath1271.34026OpenAlexW2069106158MaRDI QIDQ1947442

Wentao Mao, Juntao Li, Keqiang Li

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.12.003


zbMATH Keywords

variational methodmultiple solutionindex theoryLusternik-Schnirelmann theoryasymptotically linear Duffing equations with resonance


Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)


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Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers ⋮ Index theory for second order linear Hamiltonian systems with \(L^1\) coefficient matrix satisfying generalized periodic boundary value conditions ⋮ On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs



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