Integrated semigroups and higher-order abstract equations

DOI10.1006/jmaa.1997.5909zbMath0915.34056OpenAlexW2018602447MaRDI QIDQ1269057

Xiao Tijun, Liang Jin

Publication date: 12 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5909

zbMATH Keywords

Cauchy problemlinear operatorswellposednessintegrated semigroups

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10)

Related Items (4)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Some results on \(n\)-times integrated \(C\)-regularized semigroups ⋮ A higher-order non-autonomous semilinear parabolic equation ⋮ Unnamed Item

Cites Work

• Integrated semigroups
• Vector-valued Laplace transforms and Cauchy problems
• On complete second order linear differential equations in Banach spaces
• Integrated semigroups and their applications to the abstract Cauchy problem
• Complete second order linear differential equations with almost periodic solutions
• Integrated semigroups and their application to complete second order Cauchy problems
• Existence families, functional calculi and evolution equations
• On the convergence and approximation of integrated semigroups
• Norm continuity (for \(t>0\)) of propagators of arbitrary order abstract differential equations in Hilbert spaces
• Entire solutions of higher order abstract Cauchy problems
• Laplace transforms and integrated, regularized semigroups in locally convex spaces
• Wellposedness results for certain classes of higher order abstract Cauchy problems connected with integrated semigroups
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• Integraded semigroups and integrodifferential equations
• Extension and behavior at infinity of solutions of certain linear operational differential equations
• Integrated semigroups and differential operators on \(L^ p\) spaces
• Local C -Semigroups and Local Integrated Semigroups
• Well-Posedness of Higher Order Abstract Cauchy Problems
• Laplace Transforms and α-Times Integrated Semigroups
• Parabolicity of a Class of Higher-Order Abstract Differential Equations
• Resolvent Positive Operators
• L p Spectra of Pseudodifferential Operators Generating Integrated Semigroups
• Unnamed Item
• Unnamed Item

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