| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4641007 | Journal of Computational and Applied Mathematics | 2009 | 8 Pages |
Abstract
Let nâ¥3. In this paper, we consider the following general quasilinear boundary value problem of second order {uâ³(t)+nâ1tuâ²(t)+f(t,u(t))=0,a.e.tâ[0,1],uâ²(0)=0,u(1)=0, where the nonlinear term f(t,u) is a strong Carathéodory function. By applying the monotonically iterative technique, we construct a sequence of successive approximations and prove that the sequence converges uniformly to the solution of the above problem under suitable assumptions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Qingliu Yao,