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Year 2016, Volume: 29 Issue: 1, 79 - 86, 21.03.2016

Abstract

References

  • 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

Year 2016, Volume: 29 Issue: 1, 79 - 86, 21.03.2016

Abstract

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.

References

  • 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
There are 8 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

Adil Mısır

Banu Mermerkaya This is me

Publication Date March 21, 2016
Published in Issue Year 2016 Volume: 29 Issue: 1

Cite

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. March 2016;29(1):79-86.
Chicago Mısır, Adil, and Banu Mermerkaya. “Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients”. Gazi University Journal of Science 29, no. 1 (March 2016): 79-86.
EndNote Mısır A, Mermerkaya B (March 1, 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 and B. Mermerkaya, “Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients”, Gazi University Journal of Science, vol. 29, no. 1, pp. 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 (March 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 and Banu Mermerkaya. “Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients”. Gazi University Journal of Science, vol. 29, no. 1, 2016, pp. 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.