A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data
The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. We formulate a nonclassical cantilever beam problem with perturbed ends. By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an exis...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Hindawi Limited
2021
|
| Materias: | |
| Acceso en línea: | https://doaj.org/article/5dd5aecbcd784ad3890dcf5f4f4b1840 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| Sumario: | The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. We formulate a nonclassical cantilever beam problem with perturbed ends. By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an existence theorem for the problem under integral boundary conditions u0=u′0=∫01pxuxdx,u″1=u′′′1=∫01qxu″xdx, where p,q∈L10,1, and f is continuous on 0,1×0,∞×0,∞×−∞,0×−∞,0. |
|---|