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 (*).
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Copyright (c) 2008 Raúl Moisés Izaguirre Maguíña, Víctor Arturo Martínez León, Julio Flores Dionicio
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