Oscillation of third-order nonlinear delay difference equations

Mustafa Fahri AKTAŞ

Makale detayları

Oscillation of third-order nonlinear delay difference equations

Yazarlar:

Mustafa Fahri AKTAŞ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.422-436

Belge Tipi:

Makale

Yayın Tarihi:

2/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747784

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Third-order nonlinear difference equations of the form  D (cnD (dnD xn))+pnD xn+1+qnf(xn-s)=0, n\geq n0  are considered.  Here, {cn}, {dn}, {pn}, and {qn} are sequences of  positive real numbers for n0 \in N, f is a continuous function such  that f(u) /u\geq K > 0 for u \neq 0.  By means of a Riccati  transformation technique we obtain some new oscillation criteria.  Examples are given to illustrate the importance of the results.

 

Third-order nonlinear difference equations of the form  D (cnD (dnD xn))+pnD xn+1+qnf(xn-s)=0, n\geq n0  are considered.  Here, {cn}, {dn}, {pn}, and {qn} are sequences of  positive real numbers for n0 \in N, f is a continuous function such  that f(u) /u\geq K > 0 for u \neq 0.  By means of a Riccati  transformation technique we obtain some new oscillation criteria.  Examples are given to illustrate the importance of the results.

Makale detayları

Oscillation of third-order nonlinear delay difference equations

Yazarlar:

Mustafa Fahri AKTAŞ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.422-436

Belge Tipi:

Makale

Yayın Tarihi:

2/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747784

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Difference equation

Delay

Third order

Oscillation

Nonoscillation

Riccati transformation

Sayı

Makale detayları

Oscillation of third-order nonlinear delay difference equations

Yazarlar: Mustafa Fahri AKTAŞ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.422-436

Belge Tipi: Makale

Yayın Tarihi: 2/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000747784

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Difference equation

Delay

Third order

Oscillation

Nonoscillation

Riccati transformation

Sayı

Yazarlar:

Mustafa Fahri AKTAŞ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 3, pp.422-436

Belge Tipi:

Makale

Yayın Tarihi:

2/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747784

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098