Existence and asymptotic behaviour of positive solutions for some nonlinear parabolic systems in the half-space.
Ghanmi, Abdeljabbar, Toumi, Faten (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Ghanmi, Abdeljabbar, Toumi, Faten (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Hakobyan, G.H. (2003)
Rendiconti del Seminario Matematico
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Novotny, Antonin (1997)
Portugaliae Mathematica
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Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2008)
Discrete Dynamics in Nature and Society
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Palamides, Alex P., Yannopoulos, Theodoros G. (2006)
Boundary Value Problems [electronic only]
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N. Dilna, A. Rontó (2008)
Mathematica Bohemica
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New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.
Gelisken, Ali, Cinar, Cengiz, Karatas, Ramazan (2008)
Advances in Difference Equations [electronic only]
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