Geodesic
Solution of certain weakly singular integral equations of the first kind with indefinite parameters
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 54-59

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we study a two-dimensional weakly singular integral equation of the first kind with a logarithmic kernel. We construct a pair of spaces of the desired elements and the right-hand sides, where we prove the correctness of the problem under consideration and obtain inversion formulas for the integral operator.
Keywords: two-dimensional integral equation of the first kind, logarithmic kernel, inversion formulas for an integral operator. 
@article{IVM_2009_6_a6,
     author = {L. A. Surai},
     title = {Solution of certain weakly singular integral equations of the first kind with indefinite parameters},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {54--59},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_6_a6/}
}
TY  - JOUR
AU  - L. A. Surai
TI  - Solution of certain weakly singular integral equations of the first kind with indefinite parameters
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2009
SP  - 54
EP  - 59
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2009_6_a6/
LA  - ru
ID  - IVM_2009_6_a6
ER  - 
%0 Journal Article
%A L. A. Surai
%T Solution of certain weakly singular integral equations of the first kind with indefinite parameters
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2009
%P 54-59
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2009_6_a6/
%G ru
%F IVM_2009_6_a6
L. A. Surai. Solution of certain weakly singular integral equations of the first kind with indefinite parameters. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 54-59. http://geodesic.mathdoc.fr/item/IVM_2009_6_a6/