The Method of Lower and Upper Solutions for a Bending of an Elastic Beam Equation
โ Scribed by Zhanbing Bai
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 77 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
The paper deals with the boundary value problem for a nonlinear integro-differential equation modeling the dynamic state of the Timoshenko beam. To approximate the solution with respect to a spatial variable, the Galerkin method is used, the error of which is estimated.
The paper studies the existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation arising in the model in variational form for the neo-Hookean elastomer rod where k 1 ,k 2 > 0 are real numbers, g(s) is a given nonlinear function. When g(s) = s n (where n 2 is