Abstract
This chapter presents a brief survey of basic results from the theory of \(C_0\)-semigroups of operators in a Banach space. Some facts concerning nonlinear semigroups of contractions and their infinitesimal generators are considered as well. The issue of the relative compactness of trajectories is set up for abstract differential equations with accretive operators. We will use these results in order to establish the well-posedness of mathematical models of flexible structures in the next chapters.
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Zuyev, A.L. (2015). Basic Results from the Theory of Continuous Semigroups of Operators. In: Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements. Lecture Notes in Control and Information Sciences, vol 458. Springer, Cham. https://doi.org/10.1007/978-3-319-11532-0_1
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DOI: https://doi.org/10.1007/978-3-319-11532-0_1
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