The hundreds of applications of Hill's equation in engineering and physics range from mechanics and astronomy to electric circuits, electric conductivity of metals, and the theory of the cyclotron. New applications are continually being discovered and theoretical advances made since Liapounoff established the equation's fundamental importance for stability problems in 1907. Brief but thorough, this volume offers engineers and mathematicians a complete orientation to the subject.
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Characteristic Values and Discriminant
Intervals of Stability and Instability
List of Symbols and Notations
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Nonlinear Differential Equations and Dynamical Systems
Limited preview - 2006