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- Publisher
- de Gruyter
- Copyright
- © 1997 Plenum Publishing Corporation
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.1997.219
- Publisher site
- See Article on Publisher Site
Abstract
Solutions to the initial-boundary value problem for a nonlinear Timoshenko equation are considered. Conditions on the initial data and nonlinear term are given so that solutions to the problem under consideration do not exist for all t > 0. An upper estimate of the t -interval of the existence of solutions is obtained. An estimate of the growth rate of the solutions is given.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Jun 1, 1997
Keywords: Nonlinear Timoshenko equation; initial-boundary problem; interval of existence; estimate of growth rate of solutions