Improved oscillation results for second-order half-linear delay differential equations

George E. CHATZARAKİS; İrena JADLOVSKA

Makale detayları

Improved oscillation results for second-order half-linear delay differential equations

Yazarlar:

George E. CHATZARAKİS | İrena JADLOVSKA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 1, pp.170-179

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451659

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

 In  this paper,  we study the second-order half-linear delay differential equation of the form(r(t)(y′(t))α)′+q(t)yα(τ(t))=0.(E)(r(t)(y′(t))α)′+q(t)yα(τ(t))=0.(E)(r(t)(y'(t))^\alpha)'+q(t)y^\alpha(\tau(t))= 0.\:\:\:(E)We establish new oscillation criteria for (E), which   improve a number of related ones in the literature. Our approach  essentially involves  establishing sharper estimates for the positive solutions of (E) than those presented in known works and a comparison principle with first-order delay differential inequalities.   We illustrate the improvement over the known results by applying and comparing our method with the other known methods on the particular example of Euler-type equations. .

Makale detayları

Improved oscillation results for second-order half-linear delay differential equations

Yazarlar: George E. CHATZARAKİS | İrena JADLOVSKA

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 1, pp.170-179

Belge Tipi: Makale

Yayın Tarihi: 1/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451659

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

George E. CHATZARAKİS | İrena JADLOVSKA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 1, pp.170-179

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451659

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X