SOLUCIÓN LOCAL PARA UNA CLASE DE ECUACIONES NO-LINEALES ABSTRACTAS TIPO KIRCHHOFF- CARRIER
DOI:
https://doi.org/10.15381/pes.v11i1.9452Keywords:
Espacio de Hilbert, espacio de Banach, problema abstracto, ecuación de Kirchoff- Carrier, solución local, teorema del punto fijo de Rothe.Abstract
Let, (V, a(u, v)), (H, (u, v)) Hilbert spaces and the immersion V H is dense and compact. We consider the abstract problem:
{ Bu" + M(|u|)Au = f (*)
Where B : H → H is a linear simetric and positive operator, (W, (W,|u|0), is a C1class Banach space, the non linear M is class and strictively positive. In this article we prove the existence and unicity of the local solution of the problem (*).
Downloads
Published
Issue
Section
License
Copyright (c) 2008 Raúl Moisés Izaguirre Maguíña, Víctor Arturo Martínez León, Julio Flores Dionicio
![Creative Commons License](http://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
THE AUTHORS RETAIN THEIR RIGHTS:
a) The authors retain their trademark and patent rights, and also on any process or procedure described in the article.
b) The authors retain the right to share, copy, distribute, execute and publicly communicate the article published in Pesquimat magazine (for example, place it in an institutional repository or publish it in a book), with recognition of its initial publication in the Pesquimat magazine.
c) The authors retain the right to make a later publication of their work, to use the article or any part of it (for example: a compilation of their works, notes for conferences, thesis, or for a book), provided that they indicate the source of publication (authors of the work, magazine, volume, number and date).