A perturbation approach to the stability of undamped linear elastic systems subjected to follower forces

DOI10.1016/0022-247X(78)90063-XzbMath0403.73057MaRDI QIDQ1256345

K. Appert

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Beck's ProblemLjapunov Stability TheorySeparable Complex Hilbert SpaceStability of Linear Elastic Nonconservative Systems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Bifurcation and buckling (74G60) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (3)

Stability of certain classes of evolution equations ⋮ Nonexistence of global solutions in nonlinear Cauchy elastodynamics ⋮ Foundation of the spectral approach in nonconservative problems of the theory of elastic stability

Cites Work

• Dissipative operators in a Banach space
• On the application of Liapunov's direct method to linear dynamical systems
• On the Application of Liapunov’s Direct Method to Linear Lumped-Parameter Elastic Systems
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