2 citations · 3 across the 13 of their papers we have counts for
16 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…
Iterative Derivations on Central Simple Algebras
Manujith K. Michel, Varadharaj R. Srinivasan
We prove that an iterative derivation on a field can be extended to an iterative derivation on a central simple algebra if the characteristic of does no…
A note on internality of certain differential systems
Partha Kumbhakar, Varadharaj Ravi Srinivasan
We prove two results, generalizing certain theorems by Jin and Moosa, on the internality of the system of differential equations \begin{equation*} \begin{aligned} x' &= f(x)\\ y' &…
Strongly Normal Extensions and Algebraic Differential Equations
Partha Kumbhakar, Varadharaj Ravi Srinivasan
Let be a differential field having an algebraically closed field of constants, be a strongly normal extension of , and be the algebraic closure of in We p…
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…