Araştırma Makalesi
BibTex RIS Kaynak Göster

A method for solving general singular equations and its application

Yıl 2019, Cilt: 68 Sayı: 1, 871 - 882, 01.02.2019

Beyaz Başak Koca Nazım Sadık

https://doi.org/10.31801/cfsuasmas.484955

Öz

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

Anahtar Kelimeler

Integral equations singular integral equations convolution type integral equation

Kaynakça

  • Atkinson, F.V., The normal solubility of linear equations in normed spaces, Mat. Sbornik N.S. 28(70) (1951), 3--14. (in Russian)
  • Cherskii, Yu.I., The general singular equation and equations of convolution type, Mat.Sb.N.S., 41(83):3 (1957), 277--296. (in Russian)
  • Gakhov, F.D., Boundary Value Problems, Pergamon Press, Oxford-New York-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1966.
  • 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.

Yıl 2019, Cilt: 68 Sayı: 1, 871 - 882, 01.02.2019

Beyaz Başak Koca Nazım Sadık

https://doi.org/10.31801/cfsuasmas.484955

Öz

Kaynakça

  • Atkinson, F.V., The normal solubility of linear equations in normed spaces, Mat. Sbornik N.S. 28(70) (1951), 3--14. (in Russian)
  • Cherskii, Yu.I., The general singular equation and equations of convolution type, Mat.Sb.N.S., 41(83):3 (1957), 277--296. (in Russian)
  • Gakhov, F.D., Boundary Value Problems, Pergamon Press, Oxford-New York-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1966.
  • 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.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Beyaz Başak Koca 0000-0002-6481-6020

Nazım Sadık Bu kişi benim 0000-0001-7105-7328

Yayımlanma Tarihi 1 Şubat 2019
Gönderilme Tarihi 17 Temmuz 2017
Kabul Tarihi 29 Mayıs 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 68 Sayı: 1

Kaynak Göster

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 Koca BB, Sadık N. A method for solving general singular equations and its application. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2019;68(1):871-882. doi:10.31801/cfsuasmas.484955
Chicago Koca, Beyaz Başak, ve 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, sy. 1 (Şubat 2019): 871-82. https://doi.org/10.31801/cfsuasmas.484955.
EndNote Koca BB, Sadık N (01 Şubat 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 ve N. Sadık, “A method for solving general singular equations and its application”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 1, ss. 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 (Şubat 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 ve Nazım Sadık. “A Method for Solving General Singular Equations and Its Application”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 1, 2019, ss. 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.

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

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