4 papers
Liouvillian first integrals of differential equations: A Galoisian approach
Partha Kumbhakar, Chitrarekha Sahu, Varadharaj R. Srinivasan
Using differential Galois theory---specifically, Magid's theory of the complete Picard-Vessiot closure---we show that a system of first-order differential equations in variable…
Elementary first integrals of integral differential systems
Chitrarekha Sahu, Varadharaj R. Srinivasan
For a field of characteristic zero with a derivation , we provide a necessary and sufficient condition for a system of differential equations \begin{equation*} δy_1=f_0, \qu…
Extension of derivations to forms
Manujith K. Michel, Chitrarekha Sahu
The problem of extending derivations of a field to an algebra is widely studied in commutative algebra and non-commutative ring theory. For example, every derivation of…
Iterated and Generalized Iterated Integrals
Chitrarekha Sahu, Matthias Seiss, Varadharaj Ravi Srinivasan
For a differential field having an algebraically closed field of constants, we analyze the structure of Picard-Vessiot extensions of whose differential Galois groups are un…