BibTex RIS Kaynak Göster

Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions

Yıl 2017, Cilt: 66 Sayı: 1, 133 - 152, 01.02.2017

Mustafa Kandemir

https://doi.org/10.1501/Commua1_0000000783
Cited By: 1

Anahtar Kelimeler

Fourth order problem eigenvalue parameter asymptotic distribution

Kaynakça

  • Adams R.A., Fournier J. J. F. Sobolev spaces. Elsevier, academic press, Amsterdam 2003.
  • Aliyev Z. S. Basis properties of a fourth order diğerential operator with spectral parameter in the boundary condition. Open Mathematics 2010; 8 (2): 378-388.
  • Aydemir K. Boundary value problems with eigenvalue depending boundary and transmission conditions. Boundary Value Problems 2014; 2014/1/131.
  • Bikhoğ G. D. On the asymptotic character of the solution of the certain lineaar diğerential equations containing parameter. Trans. of the American Math. 1908; 9: 219-231.
  • Bikhoğ G. D. Boundary value and expantion problems of ordinary diğerential equations. Trans. of the American Math. 1908; 9: 373-395.
  • Imanbaev N. S., Sadybekov M. A. Characteristic determinant of the spectral problemfor the ordinary diğerential operator with the boundary load. International conference on analysis and applied mathematics (ICAAM 2014)- AIP Conference Proceedings 2014; 1611: 261-265. [7] Kandemir M. Nonlocal boundary value problems with transmission conditions. Gulf Journal of Mathematics 2015; 3: 1-17.
  • Kandemir M., Mukhtarov O. Sh., Yakubov Ya. Irregular boundary value problems with dis- continuous coe¢ cients and the eigenvalue parameter. Mediterranean Journal of Mathematics. 2009; 6: 317-338.
  • Kandemir M., Yakubov Ya. Regular boundary value problems with a discontinuous coef- …cient, functional-multipoint conditions, and a linear spectral parameter. Israel Journal of Mathematics. 2010; 180: 255-270.
  • Likov A. V. , Mikhailov Yu. A. The theory of heat and mass transfer. Qosenergaizdat 1963. [11] Mukhtarov O. Sh. Discontinuous boundary value problem with spectral parameter in bound- ary conditions. Turkish J. Math. 1994;18, 2: 183-192.
  • Mukhtarov O. Sh., Kandemir M., Kuruo¼gluN. Distribution of eigenvalues for the discontinu- ous boundary value problem with functional-manypoint conditions. Israel Journal of Mathe- matics 2002; 129: 143-156.
  • Mukhtarov O. Sh., Yakubov S. Problems for ordinary diğerential equations with transmission conditions. Applicable Analysis 2002; 8: 1033-1064.
  • Naimark M. A. Linear diğerential operators. Ungar pub. New York. 1967.
  • Rasulov M. L. Methods of contour integration. Noth Holland pub. comp. Amsterdam. 1967. [16] Shkalikov A. A. Boundary value problems for ordinary diğerential equations with a parameter in boundary conditions. Trudy Sem. Petrovsk. 1983; 9: 190-229.
  • ¸Sen E. On spectral properties of a fourth-order boundary value problem. Ain Shams Engi- neering Journal. 2013; 4 (3): 531-537.
  • Yang Q. X. A., Wang W. Y. A class of fourth order diğerential operators with transmission conditions. Iranian Journal of Science and Technology Transaction A: Science. 2011; 35 (4): 323-332.
  • Current address : Mustafa KANDEM ·IR: Department of Mathematics, Faculty of Education, Amasya University, Amasya, 05100 Turkey.

Yıl 2017, Cilt: 66 Sayı: 1, 133 - 152, 01.02.2017

Mustafa Kandemir

https://doi.org/10.1501/Commua1_0000000783
Cited By: 1

Kaynakça

  • Adams R.A., Fournier J. J. F. Sobolev spaces. Elsevier, academic press, Amsterdam 2003.
  • Aliyev Z. S. Basis properties of a fourth order diğerential operator with spectral parameter in the boundary condition. Open Mathematics 2010; 8 (2): 378-388.
  • Aydemir K. Boundary value problems with eigenvalue depending boundary and transmission conditions. Boundary Value Problems 2014; 2014/1/131.
  • Bikhoğ G. D. On the asymptotic character of the solution of the certain lineaar diğerential equations containing parameter. Trans. of the American Math. 1908; 9: 219-231.
  • Bikhoğ G. D. Boundary value and expantion problems of ordinary diğerential equations. Trans. of the American Math. 1908; 9: 373-395.
  • Imanbaev N. S., Sadybekov M. A. Characteristic determinant of the spectral problemfor the ordinary diğerential operator with the boundary load. International conference on analysis and applied mathematics (ICAAM 2014)- AIP Conference Proceedings 2014; 1611: 261-265. [7] Kandemir M. Nonlocal boundary value problems with transmission conditions. Gulf Journal of Mathematics 2015; 3: 1-17.
  • Kandemir M., Mukhtarov O. Sh., Yakubov Ya. Irregular boundary value problems with dis- continuous coe¢ cients and the eigenvalue parameter. Mediterranean Journal of Mathematics. 2009; 6: 317-338.
  • Kandemir M., Yakubov Ya. Regular boundary value problems with a discontinuous coef- …cient, functional-multipoint conditions, and a linear spectral parameter. Israel Journal of Mathematics. 2010; 180: 255-270.
  • Likov A. V. , Mikhailov Yu. A. The theory of heat and mass transfer. Qosenergaizdat 1963. [11] Mukhtarov O. Sh. Discontinuous boundary value problem with spectral parameter in bound- ary conditions. Turkish J. Math. 1994;18, 2: 183-192.
  • Mukhtarov O. Sh., Kandemir M., Kuruo¼gluN. Distribution of eigenvalues for the discontinu- ous boundary value problem with functional-manypoint conditions. Israel Journal of Mathe- matics 2002; 129: 143-156.
  • Mukhtarov O. Sh., Yakubov S. Problems for ordinary diğerential equations with transmission conditions. Applicable Analysis 2002; 8: 1033-1064.
  • Naimark M. A. Linear diğerential operators. Ungar pub. New York. 1967.
  • Rasulov M. L. Methods of contour integration. Noth Holland pub. comp. Amsterdam. 1967. [16] Shkalikov A. A. Boundary value problems for ordinary diğerential equations with a parameter in boundary conditions. Trudy Sem. Petrovsk. 1983; 9: 190-229.
  • ¸Sen E. On spectral properties of a fourth-order boundary value problem. Ain Shams Engi- neering Journal. 2013; 4 (3): 531-537.
  • Yang Q. X. A., Wang W. Y. A class of fourth order diğerential operators with transmission conditions. Iranian Journal of Science and Technology Transaction A: Science. 2011; 35 (4): 323-332.
  • Current address : Mustafa KANDEM ·IR: Department of Mathematics, Faculty of Education, Amasya University, Amasya, 05100 Turkey.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Mustafa Kandemir Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 66 Sayı: 1

Kaynak Göster

APA Kandemir, M. (2017). Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 133-152. https://doi.org/10.1501/Commua1_0000000783
AMA Kandemir M. Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2017;66(1):133-152. doi:10.1501/Commua1_0000000783
Chicago Kandemir, Mustafa. “Asymptotic Distribution of Eigenvalues for Fourth-Order Boundary Value Problem With Discontinuous Coefficients and Transmission Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, sy. 1 (Şubat 2017): 133-52. https://doi.org/10.1501/Commua1_0000000783.
EndNote Kandemir M (01 Şubat 2017) Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 133–152.
IEEE M. Kandemir, “Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 66, sy. 1, ss. 133–152, 2017, doi: 10.1501/Commua1_0000000783.
ISNAD Kandemir, Mustafa. “Asymptotic Distribution of Eigenvalues for Fourth-Order Boundary Value Problem With Discontinuous Coefficients and Transmission Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (Şubat 2017), 133-152. https://doi.org/10.1501/Commua1_0000000783.
JAMA Kandemir M. Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:133–152.
MLA Kandemir, Mustafa. “Asymptotic Distribution of Eigenvalues for Fourth-Order Boundary Value Problem With Discontinuous Coefficients and Transmission Conditions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 66, sy. 1, 2017, ss. 133-52, doi:10.1501/Commua1_0000000783.
Vancouver Kandemir M. Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):133-52.

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

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