All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 14 of 14

Showing per page

Factorisation d'opérateurs différentiels à coefficients dans une extension liouvillienne d'un corps valué

Magali Bouffet (2002)

Annales de l’institut Fourier

On démontre ici un lemme de Hensel pour les opérateurs différentiels. On en déduit un théorème de factorisation pour des opérateurs différentiels à coefficients dans une extension liouvillienne transcendante d’un corps valué. On obtient en particulier un théorème de factorisation pour des opérateurs différentiels à coefficients dans une extension de ℂ ( ( z ) ) par un nombre fini d’exponentielles et de logarithmes algébriquement indépendants sur ℂ ( ( z ) ) .

Fractional positive continuous-time linear systems and their reachability

Tadeusz Kaczorek (2008)

International Journal of Applied Mathematics and Computer Science

A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of fractional systems. Sufficient conditions are given for the reachability of fractional positive systems.

Frequency analysis of preconditioned waveform relaxation iterations

Andrzej Augustynowicz, Zdzisław Jackiewicz (1999)

Applicationes Mathematicae

The error analysis of preconditioned waveform relaxation iterations for differential systems is presented. This analysis extends and refines previous results by Burrage, Jackiewicz, Nørsett and Renaut by incorporating all terms in the expansion of the error of waveform relaxation iterations in the Laplace transform domain. Lower bounds for the size of the window of rapid convergence are also obtained. The theory is illustrated for waveform relaxation methods applied to differential systems resulting...

Further higher monotonicity properties of Sturm-Liouville functions

Zuzana Došlá, Miloš Háčik, Martin E. Muldoon (1993)

Archivum Mathematicum

Suppose that the function q ( t ) in the differential equation (1) y ' ' + q ( t ) y = 0 is decreasing on ( b , ∞ ) where b ≥ 0 . We give conditions on q which ensure that (1) has a pair of solutions y 1 ( t ) , y 2 ( t ) such that the n -th derivative ( n ≥ 1 ) of the function p ( t ) = y 1 2 ( t ) + y 2 2 ( t ) has the sign ( - 1 ) n + 1 for sufficiently large t and that the higher differences of a sequence related to the zeros of solutions of (1) are ultimately regular in sign.

Currently displaying 1 – 14 of 14

Page 1