Geodesic
On some singular integral equations on the semi-axis
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2011), pp. 12-17 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper the non-characteristic singular integral equations on the semiaxis are discussed. The solution of these equations is reduced to the solution of one-dimensional pseudo-differential equations. Some examples of singular equations for which explicit solutions exist are provided.
Keywords: singular equation, pseudo-differential equation, matrix coupling. 
@article{UZERU_2011_1_a2,
     author = {V. V. Simonyan},
     title = {On some singular integral equations on the semi-axis},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {12--17},
     year = {2011},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2011_1_a2/}
}
TY  - JOUR
AU  - V. V. Simonyan
TI  - On some singular integral equations on the semi-axis
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2011
SP  - 12
EP  - 17
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZERU_2011_1_a2/
LA  - en
ID  - UZERU_2011_1_a2
ER  - 
%0 Journal Article
%A V. V. Simonyan
%T On some singular integral equations on the semi-axis
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2011
%P 12-17
%N 1
%U http://geodesic.mathdoc.fr/item/UZERU_2011_1_a2/
%G en
%F UZERU_2011_1_a2
V. V. Simonyan. On some singular integral equations on the semi-axis. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2011), pp. 12-17. http://geodesic.mathdoc.fr/item/UZERU_2011_1_a2/

[1] Funct. Anal. Appl., 23:2 (1989), 110–116 | DOI | MR | Zbl

[2] S. Roch, B. Silbermann, Algebras of Convolution Operators and their Image in the Calkin Algebra, Berlin, 1990 | MR

[3] I. Gohberg, N. Krupnik, One-Dimensional Linear Singular Integral Equations, v. I, II, Basel–Boston–Berlin, 1992

[4] G.I. Eskin, Boundary Problems for Elliptic Pseudo-Differential Equations, M., 1973 (in Russian)

[5] H. Bart, I. Gohberg, M.A. Kaashoek “The Coupling Method for Solving Integral Equations”, Topics in Operator Theory Systems and Networks, Operator Theory: Advances and Applications, 12, Birkhauser, Verlag, Basel, 1984, 39–73. | MR