Systems with persistent memory : controllability, stability, identification / Luciano Pandolfi.

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Systems with persistent memory : controllability, stability, identification / Luciano Pandolfi.

9783030802813 (electronic bk.)
3030802817 (electronic bk.)
9783030802806
3030802809

Cham : Springer, [2021]

©2021

English

1 online resource : illustrations (chiefly color).

10.1007/978-3-030-80281-3 doi

QA401 .P36 2021

511/.8

This 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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed November 4, 2021).

Interdisciplinary applied mathematics ; v. 54.

Print version: 9783030802806

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