LINEARIZED OSCILLATION THEOREMS FOR CERTAIN NONLINEAR DELAY PARTIAL DIFFERENCE-EQUATIONS

Authors
ZHANG BG YU JS
Citation
Bg. Zhang et Js. Yu, LINEARIZED OSCILLATION THEOREMS FOR CERTAIN NONLINEAR DELAY PARTIAL DIFFERENCE-EQUATIONS, Computers & mathematics with applications, 35(4), 1998, pp. 111-116
Citations number
8
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
35
Issue
4
Year of publication
1998
Pages
111 - 116
Database
ISI
SICI code
0898-1221(1998)35:4<111:LOTFCN>2.0.ZU;2-Y
Abstract
This paper is concerned with the nonlinear delay partial difference eq uation A(m+1,n) + A(m,n+1) - A(m,n) + p(m,n)f (A(m-k,n-l)) = 0, where k and l are nonnegative integers and m, n = 0, 1,.... Some linearized oscillation theorems for this equation are obtained, i.e., we will pro ve that under some conditions on f, this equation has the same oscilla tory character as an associated linear equation. An existence result f or positive solutions of this equation is obtained also.