4 papers · 1 filter
A decision method for the integrability of differential-algebraic Pfaffian systems
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solernó
We prove an effective integrability criterion for differential-algebraic Pfaffian systems leading to a decision method of consistency with a triple exponential complexity bound. As…
Effective Differential Nullstellensatz for Ordinary DAE Systems with Constant Coefficients
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solernó
We give upper bounds for the differential Nullstellensatz in the case of ordinary systems of differential algebraic equations over any field of constants of characteristic .…
Effective Differential Lüroth's Theorem
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solernó
This paper focuses on effectivity aspects of the Lüroth's theorem in differential fields. Let be an ordinary differential field of characteristic 0 and $\mathcal{F}<u…
On the Index and the Order of Quasi-regular Implicit Systems of Differential Equations
Lisi D'Alfonso, Gabriela Jeronimo, Gustavo Massaccesi +1
This paper is mainly devoted to the study of the differentiation index and the order for quasi-regular implicit ordinary differential algebraic equation (DAE) systems. We give an a…