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Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces

Yıl 2010, Cilt: 7 Sayı: 2, - , 01.04.2010

Öz

Some corollaries of Lebesgue’s regular points which are useful in the theory of
optimal control for distributed parameter systems are proved. 

Kaynakça

  • [1] O. M. Buhrii and R. A. Mashiyev, Uniqueness of solutions of the parabolic variational inequality with variable exponent of nonlinearity, Nonlinear Anal.-Theor. 70 (2009), 2325–2331.
  • [2] A. V. Fursikov, Optimal Control of Distributed Systems. Theory and Applications, American Mathematical Society, Boston, MA 2000.
  • [3] O. Kov´aˇcik and J. R´akosn´ık, On spaces L^p(x) and W^k,p(x) , Czech. Math. J. 41 (1991), 592–618.
  • [4] R. Mashiyev, Some properties of variable Sobolev capacity, Taiwan. J. Math. 12 (2008), 671–678.
  • [5] A. D. Ioffe and V. M. Tikhomirov, Theory of Extremum Problems, Nauka, Moscow 1974.
  • [6] P. Harjulehto and P. H¨ast¨o, Lebesgue points in variable exponent spaces, Ann. Acad. Sci. Fenn.-M. 29 (2004), 295–306.
  • [7] M. R˚uˇziˇcka, Electrorheological Fluids: Modeling and Mathematical Theory. Lecture Notes in Mathematics, 1748, Springer-Verlag, Berlin, 2000.
  • [8] X. Fan and D. Zhao, On the spaces L^p(x) (Ω) and W^m,p(x) (Ω), J. Math. Anal. Appl. 263 (2001), 424–446.
Yıl 2010, Cilt: 7 Sayı: 2, - , 01.04.2010

Öz

Kaynakça

  • [1] O. M. Buhrii and R. A. Mashiyev, Uniqueness of solutions of the parabolic variational inequality with variable exponent of nonlinearity, Nonlinear Anal.-Theor. 70 (2009), 2325–2331.
  • [2] A. V. Fursikov, Optimal Control of Distributed Systems. Theory and Applications, American Mathematical Society, Boston, MA 2000.
  • [3] O. Kov´aˇcik and J. R´akosn´ık, On spaces L^p(x) and W^k,p(x) , Czech. Math. J. 41 (1991), 592–618.
  • [4] R. Mashiyev, Some properties of variable Sobolev capacity, Taiwan. J. Math. 12 (2008), 671–678.
  • [5] A. D. Ioffe and V. M. Tikhomirov, Theory of Extremum Problems, Nauka, Moscow 1974.
  • [6] P. Harjulehto and P. H¨ast¨o, Lebesgue points in variable exponent spaces, Ann. Acad. Sci. Fenn.-M. 29 (2004), 295–306.
  • [7] M. R˚uˇziˇcka, Electrorheological Fluids: Modeling and Mathematical Theory. Lecture Notes in Mathematics, 1748, Springer-Verlag, Berlin, 2000.
  • [8] X. Fan and D. Zhao, On the spaces L^p(x) (Ω) and W^m,p(x) (Ω), J. Math. Anal. Appl. 263 (2001), 424–446.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Makaleler
Yazarlar

Rabil A. Mashiyev Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 7 Sayı: 2

Kaynak Göster

APA Mashiyev, R. A. (2010). Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. Cankaya University Journal of Science and Engineering, 7(2).
AMA Mashiyev RA. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE. Nisan 2010;7(2).
Chicago Mashiyev, Rabil A. “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”. Cankaya University Journal of Science and Engineering 7, sy. 2 (Nisan 2010).
EndNote Mashiyev RA (01 Nisan 2010) Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. Cankaya University Journal of Science and Engineering 7 2
IEEE R. A. Mashiyev, “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”, CUJSE, c. 7, sy. 2, 2010.
ISNAD Mashiyev, Rabil A. “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”. Cankaya University Journal of Science and Engineering 7/2 (Nisan 2010).
JAMA Mashiyev RA. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE. 2010;7.
MLA Mashiyev, Rabil A. “Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces”. Cankaya University Journal of Science and Engineering, c. 7, sy. 2, 2010.
Vancouver Mashiyev RA. Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces. CUJSE. 2010;7(2).