Frequent oscillatory solutions of a nonlinear partial difference equation
Oscillatory conditions for the partial difference equation of the form \[ u_{m+1,n}+u_{m,n+1}-u_{m,n} +\sum_{i=1}^{h}p_{i}(m,n)|u_{m-k_{i,}n-l_{i}}|^{\alpha_{i}}\operatorname{sgn} u_{m-k_{i,}n-l_{i}}=0 \] are established. Two examples illustrating the results are given.
scientific article; zbMATH DE number 5518712