Perturbation Method for First- and Complete Second-Order Differential Equations

Mohammed Al Horani () and Angelo Favini ()
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Mohammed Al Horani: The University of Jordan (Sabbatical Year)
Angelo Favini: Universita di Bologna

Journal of Optimization Theory and Applications, 2015, vol. 166, issue 3, No 13, 949-967

Abstract: Abstract We are concerned with an inverse problem for a linear evolution equation of the first order. Both hyperbolic and parabolic cases will be considered. A complete second-order evolution equation will be considered together with a related identification problem. We indicate sufficient conditions for the existence and the uniqueness of a solution to these problems. All the results apply well to inverse problems for equations from mathematical physics. Indeed, as a possible application of the abstract theorems, some examples of partial differential equations are given.

Keywords: Inverse problem; First-order problem; Second-order problem; $$c_{0}$$ c 0 -semigroup; Analytic semigroup; 34G10; (34A55) (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-015-0733-9

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