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
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)
Halmos, P.R., A Hilbert Space Problem Book, Springer-Verlag, Berlin-New York, 1978.
Helemskii, A.Y., Lectures and Exercises on Functional Analysis, Moscow State University; AMS, Vol.233, 2006.
Khalilov, Z. I., Linear singular equations in a normed ring, Izvestiya Akad. Nauk SSSR. Ser. Mat. 13 (1949), 163--176. (in Russian)
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)
Muskhelishvili, N.I., Singular integral equations. Boundary problems of function theory and their application to mathematical physics, Noordhoff International Publishing, Leyden, 1977.
Przeworska-Rolewicz, D. and Rolewicz, S., Equations in general spaces, Polish Scientific Publishers, Warsaw, 1968.
Simonenko, I.B., Riemann's boundary value problem with a continuous coefficient, Dokl. Akad. Nauk SSSR 124 (1959), 278--281. (in Russian)
Titchmarsh, E.C., Introduction to the Theory of Fourier Integrals, The Clarendon Press, Oxford University Press, New York, 1937.
Vekua, N.P., Systems of singular integral equations and some boundary value problems, Moscow (1970) (in Russian)
Yosida, K., Functional analysis Fourth edition. Die Grundlehren der mathematischen Wissenschaften, Band 123. Springer-Verlag, New York-Heidelberg, xii+496 pp. 1974.
Year 2019,
Volume: 68 Issue: 1, 871 - 882, 01.02.2019
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)
Halmos, P.R., A Hilbert Space Problem Book, Springer-Verlag, Berlin-New York, 1978.
Helemskii, A.Y., Lectures and Exercises on Functional Analysis, Moscow State University; AMS, Vol.233, 2006.
Khalilov, Z. I., Linear singular equations in a normed ring, Izvestiya Akad. Nauk SSSR. Ser. Mat. 13 (1949), 163--176. (in Russian)
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)
Muskhelishvili, N.I., Singular integral equations. Boundary problems of function theory and their application to mathematical physics, Noordhoff International Publishing, Leyden, 1977.
Przeworska-Rolewicz, D. and Rolewicz, S., Equations in general spaces, Polish Scientific Publishers, Warsaw, 1968.
Simonenko, I.B., Riemann's boundary value problem with a continuous coefficient, Dokl. Akad. Nauk SSSR 124 (1959), 278--281. (in Russian)
Titchmarsh, E.C., Introduction to the Theory of Fourier Integrals, The Clarendon Press, Oxford University Press, New York, 1937.
Vekua, N.P., Systems of singular integral equations and some boundary value problems, Moscow (1970) (in Russian)
Yosida, K., Functional analysis Fourth edition. Die Grundlehren der mathematischen Wissenschaften, Band 123. Springer-Verlag, New York-Heidelberg, xii+496 pp. 1974.
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
Koca BB, Sadık N. A method for solving general singular equations and its application. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2019;68(1):871-882. doi:10.31801/cfsuasmas.484955
Chicago
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 68, no. 1 (February 2019): 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
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, 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 2019), 871-882. https://doi.org/10.31801/cfsuasmas.484955.
JAMA
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, 2019, pp. 871-82, doi:10.31801/cfsuasmas.484955.
Vancouver
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):871-82.