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JSYML
2011
89views more  JSYML 2011»
12 years 12 months ago
Iterative differential Galois theory in positive characteristic: A model theoretic approach
Abstract. This paper introduces a natural extension of Kolchin’s differential Galois theory to positive characteristic iterative differential fields, generalizing to the non-li...
Javier Moreno
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost
AMCS
2008
124views Mathematics» more  AMCS 2008»
13 years 5 months ago
Approximate Controllability of Infinite Dimensional Systems of the n-th Order
The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of condi...
Jerzy Stefan Respondek
SIAMCO
2000
110views more  SIAMCO 2000»
13 years 4 months ago
On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
We study the asymptotic behavior at infinity of solutions of a second order evolution equation with linear damping and convex potential. The differential system is defined in a rea...
Felipe Alvarez