BibTex RIS Kaynak Göster

OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

Yıl 2016, Cilt: 29 Sayı: 4, 923 - 927, 19.12.2016

Öz

 

In this paper, we are concerned with the oscillation of a class of second order nonlinear differential equations. By using the Riccati technique, some new oscillation criteria established which generalize and extend a number of existing oscillation criteria. Example is also given to illustrate our results.

Kaynakça

  • Fite, W.B., Concerning the zeros of the solutions of
  • certian differential equations, Trans. Amer. Math.
  • Soc. 19 (1918), 341–352.
  • Wintner, A., A criterion of oscillatory stability,
  • Quart. Appl. Math. 7 (1949), 15–117.
  • Hartman, P., Non-oscillatory linear differential
  • equations of second order, Amer. J. Math. 74
  • (1952), 389–400.
  • Kamenev, I.V., Integral criterion for oscillation of
  • linear differential equations of second order, Math.
  • Zametki 23 (1978), 249–251.
  • Wong, F.H., Yeh, C.C.: Oscillation criteria for
  • second order super-linear differential equations,
  • Math. Japonica 37 (1992), 573–584.
  • Bihari, I., An oscillation theorem concerning the half
  • linear differential equation of the second order,
  • Magyar Tud. Akad. Mat. Kutato Int. Kozl. 8
  • (1963), 275–280.
  • Kartsatos, A.G., On oscillation of nonlinear
  • equations of second order, J. Math. Anal. Appl. 24
  • (1968), 665–668.
  • Elabbasy, E.M., Elzeiny, Sh. R., Oscillation
  • theorems concerning non-linear differential
  • equations of the second order, Opuscula
  • Mathematica, Vol. 31, No. 3, (2011), 373-391.
  • Bartle, R.G., The elements of real analysis, 7th ed.,
  • John Wiley and Sons, 233 (1976).
Yıl 2016, Cilt: 29 Sayı: 4, 923 - 927, 19.12.2016

Öz

Kaynakça

  • Fite, W.B., Concerning the zeros of the solutions of
  • certian differential equations, Trans. Amer. Math.
  • Soc. 19 (1918), 341–352.
  • Wintner, A., A criterion of oscillatory stability,
  • Quart. Appl. Math. 7 (1949), 15–117.
  • Hartman, P., Non-oscillatory linear differential
  • equations of second order, Amer. J. Math. 74
  • (1952), 389–400.
  • Kamenev, I.V., Integral criterion for oscillation of
  • linear differential equations of second order, Math.
  • Zametki 23 (1978), 249–251.
  • Wong, F.H., Yeh, C.C.: Oscillation criteria for
  • second order super-linear differential equations,
  • Math. Japonica 37 (1992), 573–584.
  • Bihari, I., An oscillation theorem concerning the half
  • linear differential equation of the second order,
  • Magyar Tud. Akad. Mat. Kutato Int. Kozl. 8
  • (1963), 275–280.
  • Kartsatos, A.G., On oscillation of nonlinear
  • equations of second order, J. Math. Anal. Appl. 24
  • (1968), 665–668.
  • Elabbasy, E.M., Elzeiny, Sh. R., Oscillation
  • theorems concerning non-linear differential
  • equations of the second order, Opuscula
  • Mathematica, Vol. 31, No. 3, (2011), 373-391.
  • Bartle, R.G., The elements of real analysis, 7th ed.,
  • John Wiley and Sons, 233 (1976).
Toplam 27 adet kaynakça vardır.

Ayrıntılar

Bölüm Mathematics
Yazarlar

Adil Mısır

Süleyman Öğrekçi

Yayımlanma Tarihi 19 Aralık 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 29 Sayı: 4

Kaynak Göster

APA Mısır, A., & Öğrekçi, S. (2016). OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS. Gazi University Journal of Science, 29(4), 923-927.
AMA Mısır A, Öğrekçi S. OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS. Gazi University Journal of Science. Aralık 2016;29(4):923-927.
Chicago Mısır, Adil, ve Süleyman Öğrekçi. “OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS”. Gazi University Journal of Science 29, sy. 4 (Aralık 2016): 923-27.
EndNote Mısır A, Öğrekçi S (01 Aralık 2016) OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS. Gazi University Journal of Science 29 4 923–927.
IEEE A. Mısır ve S. Öğrekçi, “OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS”, Gazi University Journal of Science, c. 29, sy. 4, ss. 923–927, 2016.
ISNAD Mısır, Adil - Öğrekçi, Süleyman. “OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS”. Gazi University Journal of Science 29/4 (Aralık 2016), 923-927.
JAMA Mısır A, Öğrekçi S. OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS. Gazi University Journal of Science. 2016;29:923–927.
MLA Mısır, Adil ve Süleyman Öğrekçi. “OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS”. Gazi University Journal of Science, c. 29, sy. 4, 2016, ss. 923-7.
Vancouver Mısır A, Öğrekçi S. OSCILLATION CRITERIA FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS. Gazi University Journal of Science. 2016;29(4):923-7.