Existence of monotone positive solution of neutral partial difference equation
type: Item
instance of: scholarly article
title: Existence of monotone positive solution of neutral partial difference equation
zbMATH Open document ID: 0967.35144
author: Jun Yang
author: Shutang Liu
author: Yongqing Liu
author: Xinping Guan
author: Sui Sun Cheng
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-08-30T00:00:00Z
review text: The paper deals with the neutral partial difference equation \[ \sum^u_{i=1} [T(\Delta_1, \Delta_2)(\theta(\lambda) y_{m,n}+ cy_{m- k_i, n-\ell_i})+ p_i(m,n) y_{m-\sigma_i, n-\tau_i}]= 0, \] where \(T(\Delta_1,\Delta_2)= \Delta_1+ \Delta_2+ I\), \(\Delta_1 y_{m,n}= y_{m+1,n}- y_{m,n}\), and \(\Delta_2 y_{m,n}= y_{m,n+1}- y_{m,n}\), \(Iy_{m,n}= y_{m,n}\). The authors prove existence of monotone eventually positive solutions.
reviewed by: Emil Minchev
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1497251
zbMATH Keywords: existence of monotone positive solutions
zbMATH Keywords: neutral partial difference equation
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6829
OpenAlex ID: W2041069004
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DOI: 10.1006/JMAA.2000.6829
description: scientific article; zbMATH DE number 1497251