MMN-2731
Oscillatory behavior of second order nonlinear difference equations with a nonlinear nonpositive neutral term
Said R. Grace; John R. Graef;Abstract
The authors present some new oscillation criteria for second order nonlinear difference equations with a nonlinear nonpositive neutral term of
the form
$$
\Delta \left( a(t)\left( \Delta \left( x(t)-p(t)x^{\alpha
}(t-k)\right) \right) ^{\gamma }\right) +q(t)x^{\beta }(t+1-m)=0,
$$
with positive coefficients. Examples are given to illustrate the main results.
Vol. 20 (2019), No. 2, pp. 899-910