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

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dc.creatorTerrero-Escalante, C. A.
dc.date2005-11-09
dc.date.accessioned2026-07-07T06:51:01Z
dc.date.available2026-07-07T06:51:01Z
dc.descriptionSecond 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.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0511222
dc.identifierhttp://arxiv.org/abs/math/0511222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104849
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subject34C11, 34D05, 34D20
dc.titleOn bounded solutions for second order linear differential equations with negative stiffness
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