Oscillation of certain partial difference equations

• Main Authors: Sung Kyu Choi, Bing Gen Zhang
• Format: Article
• Language: English
• Published: Hindawi Limited 1998-01-01
• Series: Discrete Dynamics in Nature and Society
• Subjects: Linear and nonlinear partial difference equations; Oscillation.
• Online Access: http://dx.doi.org/10.1155/S1026022698000235

We first obtain sufficiency conditions for the oscillation of all solutions of linear partial difference equation aAm+1,n+1+bAm+1,n+cAm,n+1−dAm,n+Pm,nAm−k,n−1=0. Next, we establish a linearized oscillation result for the nonlinear partial difference equation Am+1,n+1+Am+1,n+Am,n+1−Am,n+Pm,n f(Am−k,n−l)=0.