Perturbation method for abstract second-order inverse problems

We are concerned with an abstract second-order inverse problem. We restrict ourselves here to abstract inverse problems in which, in order to solve the differential equation for u ( t ) , it is necessary to know the value of some operator or functional ϕ [ u ( t ) ] = g ( t ) as a function of the ar...

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Vydáno v:	Nonlinear analysis Ročník 72; číslo 3; s. 1379 - 1386
Hlavní autor:	Awawdeh, Fadi
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier Ltd 01.02.2010 Elsevier
Témata:	Exact sciences and technology Inverse problem Mathematical analysis Mathematics Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Operator theory Ordinary differential equations Perturbation theory of linear operators Sciences and techniques of general use Semigroup of linear operators 47A55 34G99 Semigroup of linear operators Perturbation theory of linear operators 34A55 Inverse problem Perturbation theory Second order equation Existence condition Operator semigroup Differential equation Existence of solution Nonlinear analysis Linear operator Perturbation method Sufficient condition Elasticity theory Mathematical model
ISSN:	0362-546X, 1873-5215
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