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Some Results of Developing Classical and Modern Theories of Stability of Motion

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Abstract

The paper presents some results obtained at the Department of Stability of Processes of the Institute of Mechanics of the NASU in the following areas: the nonclassical theories of stability of motion, the method of integral inequalities, the comparison method, stability of large-scale systems, stability analysis of motions in nonlinear mechanics, matrix-valued Lyapunov functions and their application, and qualitative analysis of population evolution. The characteristic features of the development of stability theories at the end of the 20th century are discussed in the final section

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  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    A. A. Martynyuk

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Martynyuk, A.A. Some Results of Developing Classical and Modern Theories of Stability of Motion. International Applied Mechanics 37, 1142–1157 (2001). https://doi.org/10.1023/A:1013278230993

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