Araştırma Makalesi
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ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION

Yıl 2019, Cilt: 2 Sayı: 2, 113 - 126, 29.07.2019
https://doi.org/10.33773/jum.543320

Öz

In the paper it is considered the regularization of the Cauchy problem for systems of elliptic type equations of the first order with constant coefficients factorisable Helmholtz operator in two-dimensional unbounded domain. Using the results of [20, 21, 22, 23, 24, 25 ], we construct in explicit form Carleman matrix and, based on the regularized solution of the Cauchy problem.

Kaynakça

  • 1. D.A. Juraev, The Cauchy problem for matrix factorizations of the Helmholtz equation in an unbounded domain, Sib. Electron. Mat. Izv. 14 (2017), 752–764. (in Russian).
  • 2. Cauchy problem for matrix factorizations of the Helmholtz equation, Ukrainian Mathematical Journal. 69 (2018), no. 10., 1583-1592. (Ukrainian Original Vol. 69, No. 10, October, 2017). (in Russian).
  • 3. D.A. Juraev, On the Cauchy problem for matrix factorizations of the Helmholtz equation in a bounded domain, Sib. Electron. Mat. Izv. 15 (2018), 11–20. (in Russian).
  • 4. D.A. Juraev, On the Cauchy problem for matrix factorizations of the Helmholtz equation in a bounded domain, Journal of Universal Mathematics. 1 (2018), no. 3, 312–319.
  • 5. D.A. Juraev, On the Cauchy problem for matrix factorizations of the Helmholtz equation in an unbounded domain in R2, Sib. Electron. Mat. Izv. 15 (2018), 1865–1877. (in Russian).
Yıl 2019, Cilt: 2 Sayı: 2, 113 - 126, 29.07.2019
https://doi.org/10.33773/jum.543320

Öz

Kaynakça

  • 1. D.A. Juraev, The Cauchy problem for matrix factorizations of the Helmholtz equation in an unbounded domain, Sib. Electron. Mat. Izv. 14 (2017), 752–764. (in Russian).
  • 2. Cauchy problem for matrix factorizations of the Helmholtz equation, Ukrainian Mathematical Journal. 69 (2018), no. 10., 1583-1592. (Ukrainian Original Vol. 69, No. 10, October, 2017). (in Russian).
  • 3. D.A. Juraev, On the Cauchy problem for matrix factorizations of the Helmholtz equation in a bounded domain, Sib. Electron. Mat. Izv. 15 (2018), 11–20. (in Russian).
  • 4. D.A. Juraev, On the Cauchy problem for matrix factorizations of the Helmholtz equation in a bounded domain, Journal of Universal Mathematics. 1 (2018), no. 3, 312–319.
  • 5. D.A. Juraev, On the Cauchy problem for matrix factorizations of the Helmholtz equation in an unbounded domain in R2, Sib. Electron. Mat. Izv. 15 (2018), 1865–1877. (in Russian).
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Davron Juraev 0000-0003-1224-6764

Yayımlanma Tarihi 29 Temmuz 2019
Gönderilme Tarihi 22 Mart 2019
Kabul Tarihi 25 Kasım 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 2

Kaynak Göster

APA Juraev, D. (2019). ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION. Journal of Universal Mathematics, 2(2), 113-126. https://doi.org/10.33773/jum.543320
AMA Juraev D. ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION. JUM. Temmuz 2019;2(2):113-126. doi:10.33773/jum.543320
Chicago Juraev, Davron. “ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION”. Journal of Universal Mathematics 2, sy. 2 (Temmuz 2019): 113-26. https://doi.org/10.33773/jum.543320.
EndNote Juraev D (01 Temmuz 2019) ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION. Journal of Universal Mathematics 2 2 113–126.
IEEE D. Juraev, “ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION”, JUM, c. 2, sy. 2, ss. 113–126, 2019, doi: 10.33773/jum.543320.
ISNAD Juraev, Davron. “ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION”. Journal of Universal Mathematics 2/2 (Temmuz 2019), 113-126. https://doi.org/10.33773/jum.543320.
JAMA Juraev D. ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION. JUM. 2019;2:113–126.
MLA Juraev, Davron. “ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION”. Journal of Universal Mathematics, c. 2, sy. 2, 2019, ss. 113-26, doi:10.33773/jum.543320.
Vancouver Juraev D. ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION. JUM. 2019;2(2):113-26.