Semigroup Theory for Abstract Equations with Memory

Giovambattista Amendola (), Mauro Fabrizio () and John Murrough Golden ()
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Giovambattista Amendola: University of Pisa, Dipartimento di Matematica Applicata “U. Dini”
Mauro Fabrizio: University of Bologna, Dipartimento di Matematica
John Murrough Golden: Dublin Institute of Technology, School of Mathematical Sciences

Chapter Chapter 22 in Thermodynamics of Materials with Memory, 2012, pp 475-489 from Springer

Abstract: Abstract We consider in this chapter, in a mathematically abstract way, the evolution equations of the kind discussed in Chapters 18 and 21, comparing the new state formulation with the traditional history approach. Relevant background to this discussion is the concept of a minimal state discussed in Part III from Section 6.4 onward, in particular, certain conclusions of Section 15.2.

Keywords: Proper State; Semigroup Theory; Abstract Equation; Smooth Bounded Domain; Memory Kernel (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1692-0_22

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DOI: 10.1007/978-1-4614-1692-0_22

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