On the Components of Extremal Solutions of Second Order Systems

On the Components of Extremal Solutions of Second Order Systems
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关于二阶系统极值解的分量

DOI:
10.1137/0508002
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发表时间:
1977
期刊:
影响因子:
--
通讯作者:
A. Lazer
A. Lazer
中科院分区:
--
文献类型:
--
作者:
Shair Ahmad;A. Lazer

文献摘要

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研究了线性系统\[x“+ A(t)x = 0,\]的极值解分量的符号性质,其中A(t)是连续n × n矩阵.对于大多数考虑,假设$A(t)$是对称的。证明是基于变分参数。
Sign properties of components of extremal solutions of the linear system \[ x'' + A(t)x = 0, \] where $A(t)$ is a continuous $n \times n$ matrix, are investigated. For most of the considerations, $A(t)$ is assumed to be symmetric. The proofs are based on variational arguments.