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Titlebook: Instability of Continuous Systems; Symposium Herrenalb Horst Leipholz Conference proceedings 1971 Springer-Verlag, Berlin/Heidelberg 1971

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Conference proceedings 1971nics. In the field of elasticity, it was mainly the so­ called static method and energy method which were used, while in the field of dynamics it was the kinetic method, which found its perfect expression in the theory of Liapunov. During the last few decades there has been a rapid development in th
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A Stability Criterion for Non-linear Continua,ization of the stability depends on a Liapunov functional, instead of a function, as was pointed out by . [3], . [4] and others, and, consequently, the stability is intended as conservation of a suitable functional “distance” during the motion.
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,Aeroelastic Stability of Plates and Shells: An Innocent’s Guide to the Literature,s will have the twin effects of (i) attracting new workers to the remaining unsolved problems and (ii) indicating how techniques developed for panel flutter may be more widely applied to other physical problems involving the stability or instability of nonlinear, non-conservative systems.
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Some Applications of Liapunov Functionals,kground using Hilbert and Sobolev spaces has been given by ., . et al. [4]. In the present paper some specific applications are reviewed, and a useful method for constructing Liapunov functionals is suggested.
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s of mechanics. In the field of elasticity, it was mainly the so­ called static method and energy method which were used, while in the field of dynamics it was the kinetic method, which found its perfect expression in the theory of Liapunov. During the last few decades there has been a rapid develop
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