Cⁿ-almost automorphic solutions for partial neutral functional differential equations

References

• Adimy , M and Ezzinbi , K . 1998 . A class of linear partial neutral functional differential equations with non-dense domain . Journal of Differential equations , 147 ( 2 ) : 285 – 332 .
   Web of Science ®Google Scholar
• Adimy , M and Ezzinbi , K . 1999 . Strict solutions of nonlinear hyperbolic neutral differential equations . Applied Mathematics Letters , 12 : 107 – 112 .
   Google Scholar
• Adimy , M and Ezzinbi , K . 1999 . Existence and linearized stability for partial neutral functional differential equations . Differential Equations and Dynamical Systems , 7 : 371 – 417 .
   Google Scholar
• Adimy , M and Ezzinbi , K . 2004 . Existence and stability of solutions for a class of partial neutral functional differential equations . Hiroshima Mathematical Journal , 34 ( 3 ) : 251 – 294 .
   Google Scholar
• Adimy , M , Elazzouzi , A and Ezzinbi , K . 2007 . Bohr-Neugebauer type theorem for some partial neutral functional differential equations . Nonlinear Analysis, Theory, Methods and Applications , 66 ( 5 ) : 1145 – 1160 .
   Web of Science ®Google Scholar
• Adimy , M , Ezzinbi , K and Laklach , M . 2001 . Spectral decomposition for partial neutral functional differential equations . Canadian Applied Mathematics Quarterly , 9 ( 1 ) : 1 – 34 .
   Google Scholar
• Baillon , JB , Blot , J , N'Guérékata , GM and Pennequin , D . 2006 . On C n -almost periodic solutions to some nonautonomous differential equations in Banach spaces . Annales Societatis Mathematicae Polonae, Serie 1 , XLVI ( 2 ) : 263 – 273 .
   Google Scholar
• Bochner , S . 1964 . Continuous mappings of almost automorphic and almost periodic functions . Proceedings of the National Academy of Sciences USA , 52 : 907 – 910 .
   PubMed Web of Science ®Google Scholar
• Bugajewski , D and N'Guérékata , GM . 2004 . On some classes of almost periodic functions in abstract spaces . International Journal of Mathematics and Mathematical Sciences , 61 : 3237 – 3247 .
   Google Scholar
• Da Prato , G and Sinestrari , E . 1987 . Differential operators with non dense domain . annali Scuola Normale Superiore di Pisa , 14 ( 2 ) : 285 – 344 .
   Google Scholar
• Ezzinbi , K and N'Guérékata , GM . 2007 . Almost automorphic solutions for some partial functional differential equations . Journal of Mathematical Analysis and Applications , 328 ( 1 ) : 344 – 358 .
   Web of Science ®Google Scholar
• Ezzinbi , K and N'Guérékata , GM . 2006 . Massera type theorem for almost automorphic solutions of functional differential equations of neutral type . Journal of Mathematical Analysis and Applications , 316 : 707 – 721 .
   Web of Science ®Google Scholar
• Liang , J , Maniar , L , N'Guérékata , GM and Xiao , TJ . 2007 . Existence and uniqueness of C n almost periodic function to some ordinary differential equations . Nonlinear Analysis, Theory, Methods and Applications , 66 : 1899 – 1910 .
   Google Scholar
• Liu , J , N'Guérékata , GM and Minh , NV . 2004 . A Massera type theorem for almost automorphic solutions of differential equations . Journal of Mathematical Analysis and Applications , 299 : 587 – 599 .
   Web of Science ®Google Scholar
• N'Guérékata , GM . 2005 . Topics in Almost Automorphy , New York : Springer-Verlag .
   Google Scholar
• Wu , J and Xia , H . 1996 . Self-sustained oscillations in a ring array of coupled lossless transmission lines . Journal of Differential Equations , 124 ( 1 ) : 247 – 278 .
   Web of Science ®Google Scholar
• Wu , J and Xia , H . 1999 . Rotating waves in neutral partial functional differential equations . Journal of Dynamics and Differential Equations , 11 ( 2 ) : 209 – 238 .
   Google Scholar