A generalized Allwright formula and the vector Riccati equation
Publication: Research › Internet publication – Annual report year: 2010
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.
Original language | English |
---|---|
Publication date | 2010 |
Source/Publisher | ArXiv |
State | Published - 2010 |
Download as:
ID: 5182020