Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2016, Cilt: 29 Sayı: 1, 79 - 86, 21.03.2016

Öz

Kaynakça

  • Beesack, P. R., Hardy’s inequality and its extensions. Pac. J. Math (1961) 11 (1), 39-61.
  • Bihari, I., An oscillation theorem concerning the half-linear differential equation of second order. Magy. Tud. Akad. Mat. Kut. Intez. Közl. (1964) 8, 275-280. [3] Dosly, O., Perturbations of the half-linear Euler-Weber type differential equation. J. Math. Anal. Appl. (2006) 323, 426-440.
  • Dosly, O., Hasil, P., Critical oscillation constant for half-linear differential equations with periodic coefficients. Ann. Math. Pur. App. (2011) 190 (3), 395-408.
  • Dosly, O., Rehak, P. Half-linear Differential Equations. Elsevier Amsterdam (2005).
  • Elbert, A., Schneider, A., Perturbations of the half-linear Euler differential equation. Results. Math. (2000) 37(1-2), 56-83.
  • Hasil, P., Conditional oscillation of half-linear differential equations with periodic coefficients. Arch. Math. (2008) 44(2), 119-131.
  • Schmidt, K. M., Oscillation of the perturbed Hill equation and the lower spectrum of radially periodic Schrödinger operators in the plane. Proc. Amer. Math. Soc. (1999) 127(8), 2367-2374.
  • Schmidt, K. M., Critical coupling constant and eigenvalue Sturm-Liouville operators, Commun. Math. Phys. (2000) 211, 465-485. perturbed periodic

Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients

Yıl 2016, Cilt: 29 Sayı: 1, 79 - 86, 21.03.2016

Öz

In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations which have different periodic coefficients. If the periods of these functions are coincide, our results reduce to Dosly and Hasil's results, which were published in Annali di Matematica 190 (2011) 395--408. Finally some examples are also given to illustrate the results.

Kaynakça

  • Beesack, P. R., Hardy’s inequality and its extensions. Pac. J. Math (1961) 11 (1), 39-61.
  • Bihari, I., An oscillation theorem concerning the half-linear differential equation of second order. Magy. Tud. Akad. Mat. Kut. Intez. Közl. (1964) 8, 275-280. [3] Dosly, O., Perturbations of the half-linear Euler-Weber type differential equation. J. Math. Anal. Appl. (2006) 323, 426-440.
  • Dosly, O., Hasil, P., Critical oscillation constant for half-linear differential equations with periodic coefficients. Ann. Math. Pur. App. (2011) 190 (3), 395-408.
  • Dosly, O., Rehak, P. Half-linear Differential Equations. Elsevier Amsterdam (2005).
  • Elbert, A., Schneider, A., Perturbations of the half-linear Euler differential equation. Results. Math. (2000) 37(1-2), 56-83.
  • Hasil, P., Conditional oscillation of half-linear differential equations with periodic coefficients. Arch. Math. (2008) 44(2), 119-131.
  • Schmidt, K. M., Oscillation of the perturbed Hill equation and the lower spectrum of radially periodic Schrödinger operators in the plane. Proc. Amer. Math. Soc. (1999) 127(8), 2367-2374.
  • Schmidt, K. M., Critical coupling constant and eigenvalue Sturm-Liouville operators, Commun. Math. Phys. (2000) 211, 465-485. perturbed periodic
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Mathematics
Yazarlar

Adil Mısır

Banu Mermerkaya Bu kişi benim

Yayımlanma Tarihi 21 Mart 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 29 Sayı: 1

Kaynak Göster

APA Mısır, A., & Mermerkaya, B. (2016). Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients. Gazi University Journal of Science, 29(1), 79-86.
AMA Mısır A, Mermerkaya B. Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients. Gazi University Journal of Science. Mart 2016;29(1):79-86.
Chicago Mısır, Adil, ve Banu Mermerkaya. “Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients”. Gazi University Journal of Science 29, sy. 1 (Mart 2016): 79-86.
EndNote Mısır A, Mermerkaya B (01 Mart 2016) Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients. Gazi University Journal of Science 29 1 79–86.
IEEE A. Mısır ve B. Mermerkaya, “Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients”, Gazi University Journal of Science, c. 29, sy. 1, ss. 79–86, 2016.
ISNAD Mısır, Adil - Mermerkaya, Banu. “Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients”. Gazi University Journal of Science 29/1 (Mart 2016), 79-86.
JAMA Mısır A, Mermerkaya B. Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients. Gazi University Journal of Science. 2016;29:79–86.
MLA Mısır, Adil ve Banu Mermerkaya. “Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients”. Gazi University Journal of Science, c. 29, sy. 1, 2016, ss. 79-86.
Vancouver Mısır A, Mermerkaya B. Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients. Gazi University Journal of Science. 2016;29(1):79-86.