[PDF][PDF] Oscillatory behavior of nonlinear advanced differential equations with a non-monotone argument

O Ocalan, N Kilic, UM Ozkan - Acta Mathematica Universitatis …, 2019 - iam.fmph.uniba.sk
O Ocalan, N Kilic, UM Ozkan
Acta Mathematica Universitatis Comenianae, 2019iam.fmph.uniba.sk
Consider the first-order nonlinear advanced differential equation x (t)− p (t) f (x (τ (t)))= 0, t≥
t0, where p (t) is nonnegative function on R and τ (t) is non-monotone or nondecreasing
function such that τ (t)≥ t for t≥ t0. Under these assumptions we researched oscillatory
behaviour of solutions of nonlinear advanced differential equations and we obtain new
oscillation criteria, involving limsup and liminf. An example illustruting the result is also
given.
Abstract
Consider the first-order nonlinear advanced differential equation x (t)− p (t) f (x (τ (t)))= 0, t≥ t0, where p (t) is nonnegative function on R and τ (t) is non-monotone or nondecreasing function such that τ (t)≥ t for t≥ t0. Under these assumptions we researched oscillatory behaviour of solutions of nonlinear advanced differential equations and we obtain new oscillation criteria, involving limsup and liminf. An example illustruting the result is also given.
iam.fmph.uniba.sk
以上显示的是最相近的搜索结果。 查看全部搜索结果