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001440656 001__ 1440656
001440656 003__ OCoLC
001440656 005__ 20230309004654.0
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001440656 008__ 211031s2021\\\\sz\a\\\\ob\\\\001\0\eng\d
001440656 019__ $$a1281240418$$a1281652565$$a1281963005$$a1282300526$$a1287777287
001440656 020__ $$a9783030802813$$q(electronic bk.)
001440656 020__ $$a3030802817$$q(electronic bk.)
001440656 020__ $$z9783030802806
001440656 020__ $$z3030802809
001440656 0247_ $$a10.1007/978-3-030-80281-3$$2doi
001440656 035__ $$aSP(OCoLC)1281587668
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001440656 049__ $$aISEA
001440656 050_4 $$aQA401$$b.P36 2021
001440656 08204 $$a511/.8$$223
001440656 1001_ $$aPandolfi, L.$$q(Luciano),$$eauthor.
001440656 24510 $$aSystems with persistent memory :$$bcontrollability, stability, identification /$$cLuciano Pandolfi.
001440656 264_1 $$aCham :$$bSpringer,$$c[2021]
001440656 264_4 $$c©2021
001440656 300__ $$a1 online resource :$$billustrations (chiefly color)
001440656 336__ $$atext$$btxt$$2rdacontent
001440656 337__ $$acomputer$$bc$$2rdamedia
001440656 338__ $$aonline resource$$bcr$$2rdacarrier
001440656 347__ $$atext file
001440656 347__ $$bPDF
001440656 4901_ $$aInterdisciplinary applied mathematics,$$x2196-9973 ;$$vvolume 54
001440656 504__ $$aIncludes bibliographical references and index.
001440656 5050_ $$aIntroduction -- Preliminary Considerations and Examples -- Operators and Semigroups for Systems with Boundary Inputs -- The Heat Equation with Memory and its Controllability -- The Wave Equation with Memory and its Controllability -- The Stability of the Wave Equation with Persistent Memory -- Dynamical Algorithms for Identification Problems -- Final Miscellaneous Problems.
001440656 506__ $$aAccess limited to authorized users.
001440656 520__ $$aThis text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology. The book focuses on the properties and controllability of the archetypal heat and wave equations with memory and introduces the dynamic approach to identification problems and the basic techniques used in the study of stability. The book presents several approaches currently used to study systems with persistent memory: Volterra equation in Hilbert spaces, Laplace transform techniques and semigroup methods. The text is intended for a diverse audience in applied mathematics and engineering and it can be used in PhD courses. Readers are recommended to have a background in the elements of functional analysis. Topics of functional analysis which younger readers may need to familiarize with are presented in the book.
001440656 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 4, 2021).
001440656 650_0 $$aMathematical models.
001440656 650_0 $$aFunctional analysis.
001440656 650_6 $$aModèles mathématiques.
001440656 650_6 $$aAnalyse fonctionnelle.
001440656 655_7 $$aLlibres electrònics.$$2thub
001440656 655_0 $$aElectronic books.
001440656 77608 $$iPrint version:$$z3030802809$$z9783030802806$$w(OCoLC)1255175926
001440656 830_0 $$aInterdisciplinary applied mathematics ;$$vv. 54.$$x2196-9973
001440656 852__ $$bebk
001440656 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-80281-3$$zOnline Access$$91397441.1
001440656 909CO $$ooai:library.usi.edu:1440656$$pGLOBAL_SET
001440656 980__ $$aBIB
001440656 980__ $$aEBOOK
001440656 982__ $$aEbook
001440656 983__ $$aOnline
001440656 994__ $$a92$$bISE