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The pendulum equation: from periodic to almost periodic forcings

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Publication:637029
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zbMath1240.34222MaRDI QIDQ637029

Rafael Ortega

Publication date: 1 September 2011

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


zbMATH Keywords

pendulumupper and lower solutionsvariational methodalmost periodic forcingcontinuation and degree theory


Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)


Related Items (5)

Limit periodic upper and lower solutions in a generic sense ⋮ Coincidence degree methods in almost periodic differential equations ⋮ Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds ⋮ Almost periodic solutions by the harmonic balance method ⋮ A generalization of Bochner's theorem and its applications in the study of impulsive differential equations




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