A theorem of instability by linear approximation for a one-dimensional non-linearly elastic body-Reference-Cited by-同舟云学术

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A theorem of instability by linear approximation for a one-dimensional non-linearly elastic body

Published:2006-01 Issue:5 Volume:70 Page:769-784
ISSN:0021-8928
Container-title:Journal of Applied Mathematics and Mechanics
language:en
Short-container-title:Journal of Applied Mathematics and Mechanics

Author:

Ryzhak E.I.

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Modelling and Simulation

Reference13 articles.

1. A.M. Lyapunov's Methods and their Applications;Zubov,1957

2. The Stability of Motion;Zubov,1973

3. The direct Lyapunov method in problems of stability for elastic systems;Movchan;Prikl Mat Mekh,1959

4. The stability of processes with respect to two metrics;Movchan;Prikl Mat Mekh,1960

5. The stability of motion of continuous bodies. Lagrange's theorem and its inversion;Movchan;Inzh Sbornik,1960

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Conditions of stability and instability for a pair of arbitrarily stratified compressible fluids in an arbitrary non-uniform gravity field;International Journal of Non-Linear Mechanics;2017-11

2. Stability of a two-layer system of inhomogeneous heavy barotropic fluids;Journal of Applied Mathematics and Mechanics;2016

3. The Lyapunov–Movchan method in problems of the stability of flows and deformation processes;Journal of Applied Mathematics and Mechanics;2014

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