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Unbounded solutions of forced isochronous oscillators at resonance

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Publication:1850200
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zbMath1030.70011MaRDI QIDQ1850200

Denis Bonheure, Christian Fabry

Publication date: 22 February 2004

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

resonancelarge amplitude solutionsforced nonlinear oscillatorsisochronous strictly convex potential


Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Growth and boundedness of solutions to ordinary differential equations (34C11) Nonlinear resonances for nonlinear problems in mechanics (70K30)


Related Items (3)

Existence and infinity of periodic solutions of some second order differential equations with isochronous potentials ⋮ Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance ⋮ Littlewood's problem for isochronous oscillators







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