Oscillation theorems for second-order nonlinear delay differential equations of neutral type

Başak KARPUZ; Shyam S. Santra

Makale detayları

Oscillation theorems for second-order nonlinear delay differential equations of neutral type

Yazarlar:

Başak KARPUZ | Shyam S. Santra

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.633-643

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451515

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

In this paper, new sufficient conditions are obtained for oscillation of second-order neutral delay differential equations of the formddt[r(t)ddt[x(t)+p(t)x(τ(t))]]+q(t)G(x(σ(t)))=0fort≥t0,ddt[r(t)ddt[x(t)+p(t)x(τ(t))]]+q(t)G(x(σ(t)))=0fort≥t0,\frac{d}{dt}\bigg[r(t)\frac{d}{dt}[x(t)+p(t)x(\tau(t))]\bigg]+q(t)G\bigl(x(\sigma(t))\bigr)=0\: for\: t\geq t_{0},under the assumptions ∫∞1r(η)dη=∞∫∞1r(η)dη=∞\int^{\infty}\frac{1}{r(\eta)}d\eta=\infty and ∫∞1r(η)dη<∞∫∞1r(η)dη<∞\int^{\infty}\frac{1}{r(\eta)}d\eta<\infty for various ranges of the bounded neutral coefficient ppp. Unlike most of the previous results, τ′τ′\tau^{\prime} is allowed to be oscillatory. Further, some illustrative examples showing applicability of the new results are included.

Makale detayları

Oscillation theorems for second-order nonlinear delay differential equations of neutral type

Yazarlar: Başak KARPUZ | Shyam S. Santra

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.633-643

Belge Tipi: Makale

Yayın Tarihi: 6/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451515

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Başak KARPUZ | Shyam S. Santra

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 3, pp.633-643

Belge Tipi:

Makale

Yayın Tarihi:

6/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451515

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X