A simple approach to solve boundary-value problems in gradient elasticity
β Scribed by C. Q. Ru; E. C. Aifantis
- Book ID
- 112492284
- Publisher
- Springer Vienna
- Year
- 1993
- Tongue
- English
- Weight
- 439 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0001-5970
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π SIMILAR VOLUMES
Existence results, by means of a simple approach, for the 3rd order differential equation satisfying the three-point boundary value conditions are given, where 0 < Ξ· < 1 is a fixed point in contrast to the usual case 1/2 < Ξ· < 1, f (t, x, y, z) β₯ 0 for any t β (0, 1), x β₯ 0, y, z β R, and the map
Problems of the controlled motion of an elastic body are considered in the linear theory. Using the method of integrodifferential relations, a family of quadratic functionals is introduced, which define the state of the elastic body, and variational formulations of the initial-boundary-value problem