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- Title
Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain.
- Authors
Zhanrong Hu; Zhen Jin
- Abstract
Combining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic nonautonomous evolution equations with nondense domain. A unified framework is set up to investigate the existence and uniqueness of almost automorphic mild solutions to some classes of parabolic partial differential equations and neutral functional differential equations.
- Subjects
NUMERICAL solutions to evolution equations; AUTOMORPHISMS; UNIQUENESS (Mathematics); FIXED point theory; EXISTENCE theorems; NUMERICAL solutions to functional differential equations; BANACH spaces
- Publication
Discrete Dynamics in Nature & Society, 2013, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2013/183420