CLASSICAL AND GENERALIZED SOLUTIONS OF TIME-DEPENDENT LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS
CLASSICAL AND GENERALIZED SOLUTIONS OF TIME-DEPENDENT LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS
复制标题
时相关线性微分代数方程的经典广义解
DOI：
10.1016/0024-3795(94)00243-6
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发表时间：
1996
影响因子：
1.1
通讯作者：
W. Rheinboldt
中科院分区：
文献类型：
--
作者：
P. Rabier;W. Rheinboldt
A coordinate-free reduction procedure is developed for linear time-dependent differential-algebraic equations that transforms their solutions into solutions of smaller systems of ordinary differential equations. The procedure applies to classical as well as distribution solutions. In the case of analytic coefficients the hypotheses required for the reduction not only are necessary for the validity of the existence and uniqueness results, but even allow for the presence of singularities. Straightforward extensions including undetermined systems and systems with nonanalytic coefficients are also discussed.
