Almost automorphic solutions of second order evolution equations

DOI10.1080/00036810410001724372zbMath1085.34045OpenAlexW1989040582WikidataQ58167921 ScholiaQ58167921MaRDI QIDQ5713496

James H. Liu, Nguyen Van Minh, Gaston Mandata N'Guérékata

Publication date: 14 December 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001724372

zbMATH Keywords

analytic semigroupuniform spectrumalmost automorphic solutionsums of commuting operators

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (12)

Almost automorphic mild solutions to fractional differential equations ⋮ Almost automorphic solutions to a class of semilinear fractional differential equations ⋮ Almost automorphic solutions to integral equations on the line ⋮ Bounded mild solutions to fractional integro-differential equations in Banach spaces ⋮ Almost automorphic solutions to second-order semilinear evolution equations ⋮ Discrete weighted pseudo almost automorphic solutions of nonautonomous difference equations ⋮ Bounded mild solutions of perturbed Volterra equations with infinite delay ⋮ Almost automorphic solutions to abstract Volterra equations on the line ⋮ Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications ⋮ Unnamed Item ⋮ Compact almost automorphic solutions to integral equations with infinite delay ⋮ WEIGHTED PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Cites Work

• The operator equation \(AX-XB=C\), admissibility, and asymptotic behavior of differential equations
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• Almost periodicity of mild solutions of inhomogeneous periodic Cauchy problems
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• Almost automorphic solutions for abstract functional differential equations.
• Evolution semigroups and sums of commuting operators: A new approach to the admissibility theory of function spaces
• Existence and uniqueness of almost automorphic mild solutions to some semilinear abstract differential equations
• Asymptotically almost periodic solutions of evolution equations in Banach spaces
• Almost automorphy, almost periodicity and stability of motions in Banach spaces
• New spectral criteria for almost periodic solutions of evolution equations
• SPECTRAL PROPERTIES OF THE OPERATOR EQUATION AX + XB = Y
• Mild solutions of second-order differential equations on the line
• Almost automorphic solutions of semilinear evolution equations
• Almost automorphic solutions of evolution equations
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