PORTUGALIAEMATHEMATICA
Vol. 59, No. 2, pp. 141-159 (2002)
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PORTUGALIAE MATHEMATICA Vol. 59, No. 2, pp. 141-159 (2002) |
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Exponential Decay and Existence of Almost Periodic Solutions for Some Linear Forced Differential EquationsPhilippe Cieutat and Alain HarauxUniversité de Versailles, Laboratoire de Mathématiques,Bat Fermat, 45 avenue des États Units, 78035 Versailles Cedex, E-mail: cieutat@math.uvsq.fr Université P. et M. Curie, Analyse Numérique, Tour 55--65, 5ème étage, 4 pl. Jussieu, 75252 Paris Cedex 05 E-mail: haraux@ann.jussieu.fr Abstract: We study the existence of almost periodic solutions of some linear evolution equation $u'+A(t)\,u=f$. To obtain these results, we establish an alternative concerning an almost periodic contraction process on $\R^{N}$. Then we apply these results to a class of second order differential equations. Full text of the article:
Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.
© 2002 Sociedade Portuguesa de Matemática
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