Open AccessBoundary-value problems for weakly singular integral equations
Author(s) -
О. A. Boichuk,
V. A. Feruk
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021094
Subject(s) - mathematics , laurent series , singularity , boundary value problem , boundary (topology) , mathematical analysis , value (mathematics) , pure mathematics , statistics
We consider a perturbed linear boundary-value problem for a weakly singular integral equation. Assume that the generating boundary-value problem is unsolvable for arbitrary inhomogeneities. Efficient conditions for the coefficients guaranteeing the appearance of the family of solutions of the perturbed linear boundary-value problem in the form of Laurent series in powers of a small parameter \begin{document}$ \varepsilon $\end{document} with singularity at the point \begin{document}$ \varepsilon = 0 $\end{document} are established.