Choi, Sung Kyu; Zhang, Bing Gen Oscillation of certain partial difference equations. (English) Zbl 0931.39003 Discrete Dyn. Nat. Soc. 2, No. 4, 257-265 (1998). Different conditions are given under which the equation \[ aA_{m+ 1,n+1} +bA_{m+1,n}+ cA_{m,n+1}- dA_{m,n}+ P_{m,n}A_{m-k,n-l}=0 \] with positive coefficients has only oscillating solutions. The results are transferred to the equation \[ A_{m+1,n+1}+ A_{m+1,n}+ A_{m,n+1}-A_{m,n}+ P_{m,n} f(A_{m-k,n-l})=0, \] but there are also given conditions under which it has a positive solution. Reviewer: Lothar Berg (Rostock) Cited in 5 Documents MSC: 39A11 Stability of difference equations (MSC2000) 39A10 Additive difference equations Keywords:partial difference equations; oscillations; positive solution PDFBibTeX XMLCite \textit{S. K. Choi} and \textit{B. G. Zhang}, Discrete Dyn. Nat. Soc. 2, No. 4, 257--265 (1998; Zbl 0931.39003) Full Text: DOI EuDML