An application of the antimaximum principle for a fourth order periodic problem
P. Amster, Universidad de Buenos Aires, Buenos Aires, Argentina E. J. Qualitative Theory of Diff. Equ., No. 3. (2006), pp. 1-12.
P. De Nápoli, Universidad de Buenos Aires, Buenos Aires, Argentina
| Communicated by T. A. Burton. | Received on 2005-05-16 Appeared on 2006-04-14 |
Abstract: We study the existence of solutions for a periodic fourth order problem. We prove an associated uniform antimaximum principle and develop a method of upper and lower solutions in reversed order. Furthermore, by the quasilinearization method we construct an iterative sequence that converges quadratically to a solution.
You can download the full text of this paper in DVI, PostScript or PDF format.