Oscillations of Second-Order Nonlinear Partial Difference Equations

Oscillations of the second-order nonlinear partial difference equation+ p mn (y m+1,n + y m,n+1 ) ν = 0 is investigated.Some sufficient conditions for oscillations of solutions of the above equation with ν > 1 and ν < 1 are obtained, where ν is a fraction of odd positive integers, m, n ∈ N i = {i, i + 1, . . ., }, i is a nonnegative integer, T ( 1 , 2 ) = 1 + 2 +I, 1 y mn = y m+1,n -y mn , 2 y mn = y m,n+1y mn , I mn y mn = y mn .