Existence results for some Kirchhoff-Carrier problems |
| |
Authors: | Senoussi Guesmia |
| |
Institution: | Institute of Mathematics, University of Zurich, Winterthurerstrasse 190, CH-8057, Zurich, Switzerland Mathematics Department, College of Sciences, Qassim University, Al-Qassim, Saudi Arabia |
| |
Abstract: | Analyzing the viscoelastic problem for small vibrations of elastic strings, Kirchhoff and Carrier proposed two different models of nonlinear partial differential equations. By combining these two models, we deal here with some nonlocal hyperbolic problems that cover a large class of Kirchhoff and Carrier type problems. The existence of local solutions of degenerate problems as well as local and nonlocal solutions of nondegenerate problems is established. The proofs are based on the combination of the Schauder fixed point theorem with some asymptotic method. |
| |
Keywords: | 35A01 35L80 35L72 47H10 74K05 76M45 |
本文献已被 ScienceDirect 等数据库收录! |
|