Higher-order degenerate Cauchy problems in locally convex spaces

DOI10.1016/J.MCM.2003.11.010zbMath1096.34035OpenAlexW2092909597MaRDI QIDQ814277

Jin Liang, Ti-Jun Xiao

Publication date: 6 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.11.010

zbMATH Keywords

well-posednessdegenerate Cauchy problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10)

Related Items (9)

Degenerate k-regularized (C1, C2)-existence and uniqueness families ⋮ Hypercyclic and topologically mixing properties of degenerate multi-term fractional differential equations ⋮ The Cauchy problem for the degenerated partial differential equation of the high even order ⋮ Unnamed Item ⋮ ON A CLASS OF ABSTRACT DEGENERATE MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS IN LOCALLY CONVEX SPACES ⋮ Multiplicative perturbations of convoluted \(C\)-cosine functions and convoluted \(C\)-semigroups ⋮ On perturbation of convoluted \(C\)-regularized operator families ⋮ Entire and analytical solutions of certain classes of abstract degenerate fractional differential equations and their systems ⋮ Degenerate abstract Volterra equations in locally convex spaces

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• The Cauchy problem for higher-order abstract differential equations
• Differential operators and \(C\)-wellposedness of complete second order abstract Cauchy problems
• Existence families, functional calculi and evolution equations
• Laplace transforms and integrated, regularized semigroups in locally convex spaces
• The underdetermined Cauchy problem in Banach spaces
• Equivalent Norms for Sobolev Spaces
• Abstract degenerate Cauchy problems in locally convex spaces

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