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Titlebook: Exponentially Dichotomous Operators and Applications; Cornelis Mee Book 2008 Birkhäuser Basel 2008 Banach space.Cauchy problem.Riccati equ

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Indefinite Sturm-Liouville Problems,In this chapter we apply the main results of Chapter 5 to kinetic equations which upon separation of variables reduce to Sturm-Liouville eigenvalue problems with an indefinite weight function. First second-order Sturm-Liouville problems are discussed and then higher-order problems. Various illustrative examples are given.
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Sadegül Akbaba Altun,Hale Ilgazs operators and strongly continuous bisemigroups. In particular, we represent the resolvents of exponentially dichotomous operators as two-sided Laplace transforms. We also discuss the special cases of analytic, immediately norm continuous, and immediately compact bisemigroups, cast hyperbolic semig
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https://doi.org/10.1007/978-981-19-3167-3onical Wiener-Hopf factorizations of the fractional linear function . In fact, we prove the so-called triple equivalence of (i) canonical factorizability, (ii) a decomposition of the underlying Banach space . of the type . and (iii) the unique solvability of a vector-valued Wiener-Hopf equation with
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ICT-Innovationen erfolgreich nutzenee decades [82, 83, 24, 15, 152, 102, 77]. Here we study their evolution operators as multiplicative perturbations of exponentially dichotomous operators, first for multiplicative perturbations that are compact perturbations of the identity, then for positive selfadjoint (bounded as well as unbounde
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https://doi.org/10.1007/978-1-4899-7439-6alued) Lebesgue-Stieltjes measures on [−.]. Equation (8.1) is called of . if the measure matrix .η(θ) is supported on both of the subintervals [0, .] and [−., 0]. As an initial condition we assume . to be known for .∈[−.]: . The special case studied most has the form . where ∼.,…,.} is a subset of [
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