Asymptotic behaviour of linear evolutionary integral equations

DOI10.1007/BF01195817zbMath1011.45004MaRDI QIDQ5931977

Ralph Chill, Jan W. Prüss

Publication date: 6 November 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

evolution equationspectrumasymptotic behaviourabstract Tauberian theoremevolutionary integral equation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Asymptotics of solutions to integral equations (45M05) Abstract integral equations, integral equations in abstract spaces (45N05) Eigenvalue problems for integral equations (45C05)

Related Items

Numerical method for solving Volterra integral equations with oscillatory kernels using a transform ⋮ Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday ⋮ On Filon methods for a class of Volterra integral equations with highly oscillatory Bessel kernels ⋮ Relations between different types of spectra and spectral characterizations ⋮ Asymptotic behavior of solutions to abstract functional differential equations ⋮ A spectral countability condition for almost automorphy of solutions of differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak almost periodicity of convolutions
• Almost periodic solutions of first- and second-order Cauchy problems
• Asymptotically almost periodic solutions of evolution equations in Banach spaces
• Discrete spectrum and almost periodicity
• Harmonic analysis and asymptotic behavior of solutions to the abstract Cauchy problem
• Stability of Individual Elements Under One-Parameter Semigroups
• Bounded Solutions of Volterra Equations
• Vector-Valued Tauberian Theorems and Asymptotic Behavior of Linear Volterra Equations
• Bounded convolutions and solutions of inhomogeneous Cauchy problems
• Asymptotically Almost Periodic Solutions of Inhomogeneous Cauchy Problems on The Half-Line
• Tauberian theorems for vector-valued Fourier and Laplace transforms
• Local spectra and individual stability of uniformly bounded $C_0$-semigroups
• Tauberian theorems and stability of solutions of the Cauchy problem