On bounded solutions for second order linear differential equations with negative stiffness

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Second order linear non-autonomous differential equations with negative stiffness are considered. Using Chetaev-like (Lyapunov-like) functions, necessary (sufficient) conditions are found for the solutions to be bounded for all initial conditions if any one of the coefficients is constant. Conclusions are then extended to include systems where both coefficients are time-varying.
6 pages

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Classical Analysis and ODEs, Dynamical Systems, 34C11, 34D05, 34D20

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http://salesiana.dossiersoluciones.com/handle/123456789/104849

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511222
 http://arxiv.org/abs/math/0511222

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arXiv