Perturbation and comparison of cosine operator functions
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Publication:1899944
DOI10.1007/BF02573631zbMath0828.47037MaRDI QIDQ1899944
Sen-Yen Shaw, Serguei Piskarev
Publication date: 8 January 1996
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/135411
abstract Cauchy problemwell-posedadditive perturbation theoremsinfinitesimal comparison of two cosine operator functionsmixed-type perturbation theoremsmultiplicative perturbation theorems
Related Items
Perturbations of existence families for abstract Cauchy problems, Nonlocal problems for Boussinesq equations, On multiplicative perturbation of integral resolvent families, Multiplicative perturbations of convoluted \(C\)-cosine functions and convoluted \(C\)-semigroups, Perturbation theory of abstract cauchy problems and volterra equations, Perturbing the boundary conditions of the generator of a cosine family, The Cauchy problem for Boussinesq equations with general elliptic part
Cites Work
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- On \(w^ *\)-continuous cosine operator functions
- Vector-valued Laplace transforms and Cauchy problems
- A note on fractional derivatives of semigroups and cosine functions
- The approximation of flows
- Perturbation theory for cosine families on Banach spaces
- On certain operator families related to cosine operator functions
- Perturbing semigroups by solving Stieltjes renewal equations
- A note on the comparison of \(C_ 0\)-semigroups
- A perturbation theory for abstract evolution equations of second order
- Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs
- On generators of integrated \(C\)-semigroups and \(C\)-cosine functions
- Ordinary differential equations in linear topological spaces. I
- Differentiability of Weak Solutions to an Abstract Inhomogeneous Differential Equation
- Perturbation of strongly continuous cosine family generators
- Volterra-Stieltjes integral equations with linear constraints and discontinuous solutions
- On Maximal Regularity and Semivariation of Cosine Operator Functions
- A Phillips-Miyadera type perturbation theorem for cosine functions of operators