Pjy. Wong, EVENTUALLY POSITIVE AND MONOTONELY DECREASING SOLUTIONS OF PARTIAL DIFFERENCE-EQUATIONS, Computers & mathematics with applications, 35(4), 1998, pp. 35-58
We establish criteria for the nonexistence of eventually positive (neg
ative) and monotonely decreasing (increasing) solutions of the partial
difference inequality [GRAPHICS] where g(i)(m) and h(i)(n), 1 less th
an or equal to i less than or equal to tau are some deviating argument
s. Several examples are presented to dwell upon the importance of the
results obtained.