Asymptotic behavior of solutions of second-order difference equations   of Volterra type

Malgorzata MIGDA; Aldona DUTKIEWICZ

Makale detayları

Asymptotic behavior of solutions of second-order difference equations of Volterra type

Yazarlar:

Malgorzata MIGDA | Aldona DUTKIEWICZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2203-2217

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745524

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper we investigate the Volterra difference equation of the form  \D(rn\Dxn)=bn+∑nk=1K(n,k)f(xk).\D(rn\Dxn)=bn+∑k=1nK(n,k)f(xk).  \D(r_n\D x_n)=b_n+\sum_{k=1}^{n}K(n,k)f(x_k).     We establish sufficient conditions for the existence of a solution xxx of the above equation with the property  xn=yn+\o(ns),xn=yn+\o(ns),  x_n=y_n+\o(n^s),     where yyy is a given solution of the equation \D(rn\Dyn)=bn\D(rn\Dyn)=bn\D(r_n\D y_n)=b_n and  sss is nonpositive real number. We also obtain sufficient conditions for the existence of asymptotically periodic solutions.

Makale detayları

Asymptotic behavior of solutions of second-order difference equations of Volterra type

Yazarlar: Malgorzata MIGDA | Aldona DUTKIEWICZ

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2203-2217

Belge Tipi: Makale

Yayın Tarihi: 9/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000745524

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Malgorzata MIGDA | Aldona DUTKIEWICZ

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2203-2217

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745524

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098