Nonoscillatory Solutions of x(m) = (-1)mQ(t)x

Nonoscillatory Solutions of x(m) = (-1)mQ(t)x
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x(m) = (-1)mQ(t)x 的非振荡解

DOI:
10.4153/cmb-1979-003-x
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发表时间:
1979
期刊:
Canadian mathematical bulletin
影响因子:
--
通讯作者:
S. Cheng
S. Cheng
中科院分区:
--
文献类型:
--
作者:
S. Cheng

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一个连续的真实的向量函数在一个区间上是非振荡的,如果它的至少一个分量在该区间上是正的或负的。本文建立了系统x(m)=(-l)mQ(t)x非振动解的各种存在性准则.在某些情况下,还给出了这些解的额外单调性性质。
Abstract A continuous real vector function is said to be nonoscillatory on an interval if at least one of its components is of constant positive or negative sign there. In this note, various existence criteria for nonoscillatory solutions of the system x(m) = (-l)mQ(t)x are established. In some cases, additional monotonicity properties for these solutions are also given.