Strong and weak \((L^p, L^q)\)-admissibility

DOI10.1016/j.bulsci.2013.11.005zbMath1327.34097OpenAlexW21983363MaRDI QIDQ401436

Claudia Valls, Luis Barreira, Davor Dragičević

Publication date: 26 August 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2013.11.005

zbMATH Keywords

exponential dichotomiesadmissibility\(L^p\) spaces

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (13)

Admissibility and nonuniform exponential dichotomies ⋮ Equivalences between nonuniform exponential dichotomy and admissibility ⋮ Extending some results of L. Barreira and C. Valls to the case of linear skew-product semiflows ⋮ Admissibility criteria for nonuniform dichotomic behavior of nonautonomous systems on the whole line ⋮ Strong nonuniform behaviour: a Datko type characterization ⋮ Characterization of nonuniform exponential trichotomies for flows ⋮ Admissibility and nonuniform exponential dichotomies for difference equations without bounded growth or Lyapunov norms ⋮ Measurable weighted shadowing for random dynamical systems on Banach spaces ⋮ One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems ⋮ Perron type theorems for skew-evolution semiflows ⋮ Asymptotic stability of nonuniform behaviour ⋮ Admissibility and polynomial dichotomies for evolution families ⋮ Admissibility, a general type of Lipschitz shadowing and structural stability

Cites Work

• Exponential dichotomy and \((\ell^p,\ell^q)\)-admissibility on the half-line
• Geometric theory of semilinear parabolic equations
• Stability of nonautonomous differential equations
• Exponential dichotomy of difference equations in \(l_{p}\)-phase spaces on the half-line
• Exponential dichotomy for evolution families on the real line
• Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Strong and weak \((L^p, L^q)\)-admissibility