On bounded time-dependent perturbations of operator cosine functions
Copyright policy )On bounded time-dependent perturbations of operator cosine functions
In this note it is shown that the Cauchy problem associated with the infinitesimal generatorA of a strongly continuous operator cosine function remains uniformly well-posed under bounded time-dependent perturbations ofA.
- DigiZeitschriften Germany
- University of Duisburg-Essen Germany
510.mathematics, Linear differential equations in abstract spaces, Algebras of operators on Banach spaces and other topological linear spaces, Functional equations for functions with more general domains and/or ranges, cosine operator functions, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Article, abstract Cauchy problems
510.mathematics, Linear differential equations in abstract spaces, Algebras of operators on Banach spaces and other topological linear spaces, Functional equations for functions with more general domains and/or ranges, cosine operator functions, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Article, abstract Cauchy problems
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