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

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

2005-11-09

arxiv.org/abs/math/0511222v1

Mathematics

Classical Analysis and ODEs

6 pages

Scientific paper

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.

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