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

DOI10.1006/JDEQ.1999.3705zbMath0953.47032OpenAlexW2007953234MaRDI QIDQ1566842

Peng-Fei Yao

Publication date: 4 June 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3705

zbMATH Keywords

square rootsecond derivativeelastic systems with structural damping

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General theory of ordinary differential operators (47E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• On the nonnegative square root of the fourth derivative operators
• 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
• Linear integral equations

This page was built for publication: On the dual boundary conditions and the nonnegative square root of the second derivative operator