Second-Order Neutral Differential Equations with Distributed Deviating Arguments: Oscillatory Behavior
نویسندگان
چکیده
In this paper, new criteria for a class oscillation of second-order delay differential equations with distributed deviating arguments were established. Our method mainly depends on making sharper estimates the non-oscillatory solutions studied equation. By using Ricati technique and comparison theorems that compare first-order equations, we obtained less restrictive conditions ensure all Further, give an illustrative example.
منابع مشابه
Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments
(H) I := [t,∞), r,p ∈ C(I,R), r(t) > , and p(t)≥ ; (H) q ∈ C(I× [a,b], [,∞)) and q(t, ξ ) is not eventually zero on any [tμ,∞)× [a,b], tμ ∈ I; (H) g ∈ C(I× [a,b], [,∞)), lim inft→∞ g(t, ξ ) =∞, and g(t,a)≤ g(t, ξ ) for ξ ∈ [a,b]; (H) τ ∈ C(I,R), τ ′(t) > , limt→∞ τ (t) =∞, and g(τ (t), ξ ) = τ [g(t, ξ )]; (H) σ ∈ C([a,b],R) is nondecreasing and the integral of (.) is taken in the...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11122605