On the problem of semiinfinite beam oscillation with internal damping

Details On the problem of semiinfinite beam oscillation with internal damping On the problem of semiinfinite beam oscillation with internal damping

1997-02-12

arxiv.org/abs/funct-an/9702007v1

Mathematics

Functional Analysis

9 pages, AMSTeX, to appear in Proceedings of the Seventh Crimean Autumn Mathematical School-Simposium on Spectral and Evolutio

Scientific paper

We study the Cauchy problem for the equation of the form $$ \ddot{u}(t) + (\aa A + B)\dot{u}(t) + (A+G)u(t) = 0,\tag* $$ where $A$, $B$, and $G$ are \o s in a Hilbert space $\Cal H$ with $A$ selfadjoint, $\sigma(A)=[0,\infty)$, $B\ge0$ bounded, and $G$ symmetric and $A$-subordinate in a certain sense. Spectral properties of the correspondent operator pencil $L(\lambda) := \lambda^2I + \lambda (\alpha A + B) + A + G$ are studied, and existence and uniqueness of generalized and classical solutions of the Cauchy problem are proved. Equations of the type (*) include, e.g., an abstract model for the problem of semiinfinite beam oscillations with internal damping.

Affiliated with

Also associated with

No associations

Rating

On the problem of semiinfinite beam oscillation with internal damping does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the problem of semiinfinite beam oscillation with internal damping, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the problem of semiinfinite beam oscillation with internal damping will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297928