On complete second order linear differential equations in Banach spaces

DOI10.2140/pjm.1990.142.175zbMath0663.34053OpenAlexW2081721226MaRDI QIDQ1114067

Jin Liang, Tijun Xio

Publication date: 1990

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1990.142.175

zbMATH Keywords

Cauchy problemBanach spacedensely defined closed linear operators

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Linear differential equations in abstract spaces (34G10)

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Strongly continuous \(M,N\)-families of bounded operators ⋮ Existence results for some damped second-order Volterra integro-differential equations ⋮ Complete second order differential equations in Banach spaces with dynamic boundary conditions ⋮ On the minimal extension of \(C_ 0\)-semigroups for second-order damped equations ⋮ Analyticity and differentiability of semigroups associated with elastic systems with damping and gyroscopic forces ⋮ Local k-convoluted c-semigroups and complete second order abstract Cauchy problems ⋮ Semigroups arising from elastic systems with dissipation ⋮ Analyticity of the propagators of second order linear differential equations in Banach spaces ⋮ Complete second order linear differential equations with almost periodic solutions ⋮ Convergence for hyperbolic singular perturbation of integrodifferential equations ⋮ Semigroups arising from elastic systems with dissipation ⋮ Exponential stability of solutions for higher order abstract Cauchy problems ⋮ Hyperbolic singular perturbations for integrodifferential equations ⋮ A characterization of norm continuity of propagators for second order abstract differential equations ⋮ Almost automorphic solutions of nonautonomous evolution equations ⋮ Integrated semigroups and higher-order abstract equations ⋮ The method of integrated semigroups for Cauchy problems in Banach spaces ⋮ Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces

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