Almost Periodic Solutions of Differential Equations in Banach Spaces
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A01=Jong Son Shin
A01=Nguyen VanMinh
A01=Toshiki Naito
A01=Yoshiyuki Hino
abstract differential equations
Author_Jong Son Shin
Author_Nguyen VanMinh
Author_Toshiki Naito
Author_Yoshiyuki Hino
Banach Spaces
bounded
Bounded Linear Operators
Bounded Solution
Category=PBKJ
Closed Linear Operator
Closed Subspace
compact
delay
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Evolution Semigroup
existence of almost periodic solutions
Fixed Point
functional
functional analysis applications
Functional Partial Differential Equations
infinite
Infinite Dimensional Case
Infinitesimal Generator
linear
Linear Operator
mild
Mild Solution
Monodromy Operator
Nonautonomous Dynamical Systems
Null Solution
operator
operator theory research
operators
Ordinary Differential Equations
Periodic Solution
Satisfies Condition
semigroup
semilinear evolution equations
Skew Product Flow
spectral analysis methods
Spectral Mapping Theorem
stability theory
Strongly Continuous
Trigonometric Polynomials
Uniform Asymptotic Stability
Unique Mild Solution
Uniquely Solvable
Product details
- ISBN 9780415272667
- Weight: 612g
- Dimensions: 178 x 254mm
- Publication Date: 25 Oct 2001
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.
Yoshiyuki Hino, Toshiki Naito, Nguyen VanMinh, Jong Son Shin
