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010   $a3-030-80281-7
024 7 $a10.1007/978-3-030-80281-3
035   $a(CKB)5470000001298849
035   $a(MiAaPQ)EBC6794569
035   $a(Au-PeEL)EBL6794569
035   $a(OCoLC)1281963005
035   $a(PPN)258296976
035   $a(DE-He213)978-3-030-80281-3
035   $a(EXLCZ)995470000001298849
100   $a20211027d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSystems with Persistent Memory $eControllability, Stability, Identification /$fby Luciano Pandolfi
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (365 pages)
225 1 $aInterdisciplinary Applied Mathematics,$x2196-9973 ;$v54
311 08$a3-030-80280-9 
327   $aIntroduction -- Preliminary Considerations and Examples -- Operators and Semigroups for Systems with Boundary Inputs -- The Heat Equation with Memory and its Controllability -- The Wave Equation with Memory and its Controllability -- The Stability of the Wave Equation with Persistent Memory -- Dynamical Algorithms for Identification Problems -- Final Miscellaneous Problems.
330   $aThis text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology. The book focuses on the properties and controllability of the archetypal heat and wave equations with memory and introduces the dynamic approach to identification problems and the basic techniques used in the study of stability. The book presents several approaches currently used to study systems with persistent memory: Volterra equation in Hilbert spaces, Laplace transform techniques and semigroup methods. The text is intended for a diverse audience in applied mathematics and engineering and it can be used in PhD courses. Readers are recommended to have a background in the elements of functional analysis. Topics of functional analysis which younger readers may need to familiarize with are presented in the book.
410  0$aInterdisciplinary Applied Mathematics,$x2196-9973 ;$v54
606   $aSystem theory
606   $aControl theory
606   $aFunctional analysis
606   $aSystems Theory, Control
606   $aComplex Systems
606   $aFunctional Analysis
615  0$aSystem theory.
615  0$aControl theory.
615  0$aFunctional analysis.
615 14$aSystems Theory, Control.
615 24$aComplex Systems.
615 24$aFunctional Analysis.
676   $a511.8
700   $aPandolfi$b L$g(Luciano),$042386
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910508447903321
996   $aSystems with Persistent Memory$92568736
997   $aUNINA