Boundary-value problems for weakly singular integral equations | Zendy

А. А. Бойчук | Zendy; V. A. Feruk | Zendy

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Boundary-value problems for weakly singular integral equations

Author(s) -

А. А. Бойчук,

V. A. Feruk

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - 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.

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