Integral Manifolds of Nonautonomous Boundary Cauchy Problems
T. S. Doan
Department of Mathematics, Center for Dynamics, TU Dresden, 01062 Dresden, Germany & Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet Road, Hanoi, Viet Nam
M. Moussi
Department of Mathematics and Informatics, Faculty of Sciences, University Mohammed I, 60000 Oujda, Morocco
S. Siegmund
Department of Mathematics, Center for Dynamics, TU Dresden, 01062 Dresden, Germany
Received on August 22, 2011
Accepted on November 22, 2011
Communicated by Khalil Ezzinbi
| Abstract. The existence of integral manifolds for nonlinear boundary Cauchy problems is established using an extension of the variation of constants formula recently established in [Boulite_Maniar_Moussi_06]. Examples include nonautonomous structured population equations and nonautonomous retarded differential equations. | |
| Keywords: | Nonautonomous boundary Cauchy problem; integral manifold; structured population equation; retarded differential equation. |
| 2010 Mathematics Subject Classification: 34K10, 34K19. | |