Some stability theorems for an abstract equation in Hilbert space with applications to linear elastodynamics

DOI10.1016/0022-247X(77)90135-4zbMath0378.35059MaRDI QIDQ1246836

Frederick Bloom

Publication date: 1977

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

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Elastic materials (74B99) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Differential equations in abstract spaces (34G99)

Related Items (3)

On bounds for solutions to nonlinear wave equations in Hilbert space with applications to nonlinear elastodynamics ⋮ Continuous dependence on initial geometry for a class of abstract equations in Hilbert space ⋮ Acoustic wave propagation in anisotropic media with applications to piezoelectric materials

Cites Work

• Material uniformity and inhomogeneity in anelastic bodies
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• Logarithmic convexity and the Cauchy problem for some abstract second order differential inequalities
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