Oscillation of solutions of a neutral pantograph equation with impulsive perturbations

Kaizhong GUAN

Makale detayları

Oscillation of solutions of a neutral pantograph equation with impulsive perturbations

Yazarlar:

Kaizhong GUAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 3, pp.455-465

Belge Tipi:

Makale

Yayın Tarihi:

2/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747610

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Some sufficient conditions are established on the  oscillation of all solutions of a class of neutral pantograph  equations with impulsive perturbations of the form  \{ddt[x(t)−C(t)x(gt)]+P(t)tx(at)−Q(t)tx(bt)=0,  t≥t0>0,  t≠tk,x(t+k)=bkx(tk),k=1,2,....ddt[x(t)−C(t)x(gt)]+P(t)tx(at)−Q(t)tx(bt)=0,  t≥t0>0,  t≠tk,x(t+k)=bkx(tk),k=1,2,....\begin{array}{l}\frac{d}{dt}[x(t)-C(t)x(g t)]+  \frac{P(t)}{t}x(a t)-\frac{Q(t)}{t}x(b t)=0,~~ t\geq  t0>0,~~ t\neq tk, x(t+k)=bkx(tk), k=1,2,... .  \end{array}\right.

 

Some sufficient conditions are established on the  oscillation of all solutions of a class of neutral pantograph  equations with impulsive perturbations of the form  \{ddt[x(t)−C(t)x(gt)]+P(t)tx(at)−Q(t)tx(bt)=0,  t≥t0>0,  t≠tk,x(t+k)=bkx(tk),k=1,2,....ddt[x(t)−C(t)x(gt)]+P(t)tx(at)−Q(t)tx(bt)=0,  t≥t0>0,  t≠tk,x(t+k)=bkx(tk),k=1,2,....\begin{array}{l}\frac{d}{dt}[x(t)-C(t)x(g t)]+  \frac{P(t)}{t}x(a t)-\frac{Q(t)}{t}x(b t)=0,~~ t\geq  t0>0,~~ t\neq tk, x(t+k)=bkx(tk), k=1,2,... .  \end{array}\right.

Makale detayları

Oscillation of solutions of a neutral pantograph equation with impulsive perturbations

Yazarlar:

Kaizhong GUAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 3, pp.455-465

Belge Tipi:

Makale

Yayın Tarihi:

2/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747610

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Oscillation

neutral differential equation

pantograph equation

impulses

Sayı

Makale detayları

Oscillation of solutions of a neutral pantograph equation with impulsive perturbations

Yazarlar: Kaizhong GUAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2013 Vol.37 Issue 3, pp.455-465

Belge Tipi: Makale

Yayın Tarihi: 2/2013

Belge Dili: Türkçe

Document ID (Org No.): 2000747610

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Oscillation

neutral differential equation

pantograph equation

impulses

Sayı

Yazarlar:

Kaizhong GUAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 3, pp.455-465

Belge Tipi:

Makale

Yayın Tarihi:

2/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747610

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098