Perturbation theory of abstract cauchy problems and volterra equations

DOI10.1016/S0362-546X(97)00054-0zbMath0887.34059OpenAlexW2047891623MaRDI QIDQ4374246

Sen-Yen Shaw, Jung-Chan Chang

Publication date: 4 February 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00054-0

zbMATH Keywords

abstract Cauchy problemmultiplicative perturbationVolterra equationcosine operator functionresolvent familyadditive perturbation

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Singular perturbations for ordinary differential equations (34E15)

Related Items (4)

On multiplicative perturbation of integral resolvent families ⋮ Perturbation theory for abstract Volterra equations ⋮ Multiplicative perturbations ofC-regularized resolvent families ⋮ Time dependent Desch-Schappacher type perturbations of Volterra integral equations

Cites Work

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• Positivity and regularity of hyperbolic Volterra equations in Banach spaces
• Some perturbation results for analytic semigroups
• Linear integro-differential equations in Banach spaces
• Positive perturbations of linear Volterra equations and sine functions of operators
• Perturbation theory for cosine families on Banach spaces
• Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs
• Perturbation and comparison of cosine operator functions
• Rates of approximation and ergodic limits of resolvent families
• Ordinary differential equations in linear topological spaces. I
• On perturbation theory for semi-groups of operators
• Multiplicative perturbation of semigroup generators
• Multiplicative Perturbations of Linear Volterra Equations

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