Liouville theorems for a class of linear second-order operators with nonnegative characteristic form.
Kogoj, Alessia Elisabetta, Lanconelli, Ermanno (2007)
Boundary Value Problems [electronic only]
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Kogoj, Alessia Elisabetta, Lanconelli, Ermanno (2007)
Boundary Value Problems [electronic only]
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Cardoulis, Laure (2001)
International Journal of Mathematics and Mathematical Sciences
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Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2008)
Discrete Dynamics in Nature and Society
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Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Timofte, Vlad (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [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.
Palamides, Alex P., Yannopoulos, Theodoros G. (2006)
Boundary Value Problems [electronic only]
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Yalcinkaya, Ibrahim, Cinar, Cengiz, Gelisken, Ali (2010)
Discrete Dynamics in Nature and Society
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Gelisken, Ali, Cinar, Cengiz, Karatas, Ramazan (2008)
Advances in Difference Equations [electronic only]
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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).