, t∈I=[t0,∞),
with a positive continuous function a, continuous functions
bi, f, and n continuously differentiable unbounded lags. We
establish conditions under which any solution y of this equation
can be estimated by means of a solution of an auxiliary functional
equation with one unbounded lag. Moreover, some related questions
concerning functional equations are discussed as well.">
本文论述了微分方程的解的渐近行为
y
˙
(
t
)
=
−
一个
(
t
)
y
(
t
)
+
∑
我
=
1
n
b
我
(
t
)
y
(
τ
我
(
t
)
)
+
f
(
t
),
t
∈
我
=
(
t
0
,
∞
),有一个积极的连续函数
一个,连续函数
b
我,
f,
n连续可微的无界的滞后。我们建立条件任何解决方案
y估计方程可以通过辅助函数方程的解决方案与一个无界的滞后。此外,一些相关问题有关函数方程进行了讨论。