Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842827 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 9 Pages |
Abstract
This paper studies an initial-boundary value problem (IBV) of the wave equation, in which time derivative of second order appears in the boundary condition. This results in study of new Sturm–Liouville problem. The solution of IBV is then constructed in terms of the family of eigenfunctions of the S-L problem. Uniqueness and stability are proved via energy inequality method. Some extension is explained. A parabolic variant is also illustrated.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Haihong Liu, Ning Su,