Department of Mathematics, Washington State University, Pullman, WA 99164-3113, USA; firstname.lastname@example.org
We show that the set of nonnegative equilibrium-like states, namely, like of the semilinear vibrating string that can be reached from any non-zero initial state , by varying its axial load and the gain of damping, is dense in the “nonnegative” part of the subspace of . Our main results deal with nonlinear terms which admit at most the linear growth at infinity in and satisfy certain restriction on their total impact on (0,∞) with respect to the time-variable.
(Received March 31 2004)
(Revised December 9 2004)
(Online publication March 22 2006)
Mathematics Subject Classification: