Direct and inverse problems for degenerate differential equations

We are concerned with a general abstract equation that allows to handle various degenerate first and second order differential equations in Banach spaces. We indicate sufficient conditions for existence and uniqueness of a solution. Periodic conditions are assumed to improve previous approaches on t...

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Published in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche Vol. 64; no. 2; pp. 227 - 241
Main Authors: Al Horani, Mohammed, Fabrizio, Mauro, Favini, Angelo, Tanabe, Hiroki
Format: Journal Article
Language:English
Published: Milan Springer Milan 01.11.2018
Springer Nature B.V
Subjects:
Algebraic Geometry
Analysis
Banach spaces
Geometry
History of Mathematical Sciences
Inverse problems
Mathematical analysis
Mathematics
Mathematics and Statistics
Nondestructive testing
Numerical Analysis
Partial differential equations
34G10
First-order problem
34A55
semigroup
Second-order problem
Periodic solution
Inverse problem
ISSN:0430-3202, 1827-1510
Online Access:Get full text
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Summary:We are concerned with a general abstract equation that allows to handle various degenerate first and second order differential equations in Banach spaces. We indicate sufficient conditions for existence and uniqueness of a solution. Periodic conditions are assumed to improve previous approaches on the abstract problem to work on ( - ∞ , ∞ ) . Related inverse problems are discussed, too. All general results are applied to some systems of partial differential equations. Inverse problems for degenerate evolution integro-differential equations might be described, too.
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ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-018-0303-9