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Título:
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Wave solutions for a discrete reaction-diffusion equation
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Autores:
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Carpio, Ana ;
Chapman, S.J. ;
Hastings, S. ;
Mcleod, J.B.
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge University Press, 2000
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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Motivated by models from fracture mechanics and from biology, we study the infinite system of differential equations u'(n) = u(n-1) - 2u(n) + u(n+1) - A sin u(n) + F, ' = d/dt, where A and F are positive parameters. For fixed A > 0 we show that there are monotone travelling waves for F in an interval F-crit 0. We show that, for the sine nonlinearity, this is true if A > 2. (Our method yields better estimates than this, but does not include all A > 0.) We also consider the existence and multiplicity of time independent solutions when \F\
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En línea:
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https://eprints.ucm.es/id/eprint/15100/1/40.pdf
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