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Efendiyev, M.A. ; Vougalter, V.*

On the solvability of some systems of integro-differential equations with and without a drift.

Complex Variables, DOI: 10.1080/17476933.2024.2372105 (2024)
Postprint DOI
Open Access Green
We prove the existence of solutions for some integro-differential systems containing equations with and without drift terms in the (Formula presented.) spaces by virtue of the fixed point technique when the elliptic equations contain second order differential operators with and without Fredholm property, on the whole real line or on a finite interval with periodic boundary conditions. Let us emphasise that the study of the system case is more complicated than of the scalar situation and requires to overcome more cumbersome technicalities.
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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords Drift Terms ; Integro-differential Systems ; Non-fredholm Operators ; Solvability Conditions; Properness Properties; Traveling-waves; Fredholm; Propagation
ISSN (print) / ISBN 0278-1077
e-ISSN 1563-5066
Publisher Taylor & Francis
Publishing Place 2-4 Park Square, Milton Park, Abingdon Or14 4rn, Oxon, England
Non-patent literature Publications
Reviewing status Peer reviewed
Grants NSERC