广义Allwright公式与向量Riccati方程
A generalized Allwright formula and the vector Riccati equation
摘要：
利用Kronecker积将Allwright关于标量微分方程通解的一个经典公式推广到微分方程组，并将Allwright公式与Riccati方程联系起来，同样地，将推广的公式与一类特殊的微分系统向量Riccati方程联系起来.此外，将标量微分方程是Riccati方程的充要条件是其通解是初值的分数阶线性函数的经典结果推广到微分系统.
英文摘要：
A classical formula of Allwright on the general solution of a scalar differential equation is generalized to a system of differential equations by means of the Kronecker product.The Allwright formula is connected with the Riccati equation, and in a similar way the generalized formula is connected with a special type of a differential system called a vector Riccati equation. Moreover,the classical result that a scalar differential equation is a Riccati equation if and only if its general solution is a fractional linear function of the starting value, is also generalized to a differential system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
