Identification Problems for Integrodifferential Equations

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 23 in Thermodynamics of Materials with Memory, 2012, pp 491-512 from Springer

Abstract: Abstract This chapter is devoted to outlining some ideas involving that part of the theory of inverse problems that is usually referred to as the identification of parameters (numbers, vectors, matrices, functions) appearing in integrodifferential equations describing the evolution of fading memory materials. We recall the celebrated definition by Hadamard of a well-posed problem: it requires the existence and uniqueness of the solution to the problem and its continuous dependence on data.

Keywords: Consistency Condition; Auxiliary Function; Direct Problem; Continuous Dependence; Integrodifferential Equation (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-1692-0_23

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