On the nonnegative square root of the fourth derivative operators

DOI10.1006/JDEQ.1998.3464zbMath0907.73035OpenAlexW2073757018MaRDI QIDQ1270017

Peng-Fei Yao

Publication date: 9 March 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3464

zbMATH Keywords

elastic systems with structural damping

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Miscellaneous applications of operator theory (47N99)

Related Items (1)

On the dual boundary conditions and the nonnegative square root of the second derivative operator

Cites Work

• Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications
• Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam bending with end-bodies
• Proof of extensions of two conjectures on structural damping for elastic systems
• Damping operators in continuum models of flexible structures: Explicit models for proportional damping in beam torsion
• A mathematical model for linear elastic systems with structural damping
• On the positive square root of the fourth derivative operator
• On the dual boundary conditions of the fourth derivative operators
• Structure for nonnegative square roots of unbounded nonnegative selfadjoint operators
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