Research Article

A method for solving general singular equations and its application

Volume: 68 Number: 1 February 1, 2019
EN

A method for solving general singular equations and its application

Abstract

In this paper we present a new method for solving general singular equations of normal type. As an application of this method, we give a solution for a class of convolution-type integral equations

Keywords

References

  1. Atkinson, F.V., The normal solubility of linear equations in normed spaces, Mat. Sbornik N.S. 28(70) (1951), 3--14. (in Russian)
  2. Cherskii, Yu.I., The general singular equation and equations of convolution type, Mat.Sb.N.S., 41(83):3 (1957), 277--296. (in Russian)
  3. Gakhov, F.D., Boundary Value Problems, Pergamon Press, Oxford-New York-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1966.
  4. Gakhov F. D. and Cherskii, Yu. I., Singular integral equations of convolution type, Izv. Akad. Nauk SSSR. Ser.Mat. 20 (1956), 33--52. (in Russian)
  5. Halmos, P.R., A Hilbert Space Problem Book, Springer-Verlag, Berlin-New York, 1978.
  6. Helemskii, A.Y., Lectures and Exercises on Functional Analysis, Moscow State University; AMS, Vol.233, 2006.
  7. Khalilov, Z. I., Linear singular equations in a normed ring, Izvestiya Akad. Nauk SSSR. Ser. Mat. 13 (1949), 163--176. (in Russian)
  8. Khvedelidze, B.V., Linear discontinuous boundary problems in the theory of functions, singular integral equations and some applications, Trudy Tbilis. Mat. Inst. Akad. Nauk. GruzSSR , 23 (1956) pp. 3--158 (In Russian) \bibitem[Mi]{mik} S.G. Mikhlin, Singular integral equations, \emph{Uspekhi Mat. Nauk}, 3:3(25) (1948), 29--112. (Russian)

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

July 17, 2017

Acceptance Date

May 29, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Koca, B. B., & Sadık, N. (2019). A method for solving general singular equations and its application. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 871-882. https://doi.org/10.31801/cfsuasmas.484955
AMA
1.Koca BB, Sadık N. A method for solving general singular equations and its application. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):871-882. doi:10.31801/cfsuasmas.484955
Chicago
Koca, Beyaz Başak, and Nazım Sadık. 2019. “A Method for Solving General Singular Equations and Its Application”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 871-82. https://doi.org/10.31801/cfsuasmas.484955.
EndNote
Koca BB, Sadık N (February 1, 2019) A method for solving general singular equations and its application. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 871–882.
IEEE
[1]B. B. Koca and N. Sadık, “A method for solving general singular equations and its application”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 871–882, Feb. 2019, doi: 10.31801/cfsuasmas.484955.
ISNAD
Koca, Beyaz Başak - Sadık, Nazım. “A Method for Solving General Singular Equations and Its Application”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 871-882. https://doi.org/10.31801/cfsuasmas.484955.
JAMA
1.Koca BB, Sadık N. A method for solving general singular equations and its application. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:871–882.
MLA
Koca, Beyaz Başak, and Nazım Sadık. “A Method for Solving General Singular Equations and Its Application”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 871-82, doi:10.31801/cfsuasmas.484955.
Vancouver
1.Beyaz Başak Koca, Nazım Sadık. A method for solving general singular equations and its application. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):871-82. doi:10.31801/cfsuasmas.484955

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.