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Transforming linear functional systems into fully integrable systems
Linear functional systems (fully) integrable systems Reflexive closures Localizations Ore modules Laurent–Ore modules
2013/9/3
A linear (partial) functional system consists of linear partial differential, difference equations or any mixture thereof. We present an algorithm that determines whether linear functional systems are...
Ostrowski type inequalities from a linear functional point of view
$P_0$-simple function ls inequalities Lipschitz mappings
2008/6/27
Inequalities are obtained using -simple functionals. Applications to Lipschitzian mappings are given.
The Stability of Some Linear Functional Equations
Linear functional equations Stability Superstability
2008/6/26
The Stability of Some Linear Functional Equations.
Picard–Vessiot Extensions for Linear Functional Systems
Linear functional systems Picard-Vessiot extensions Fundamental matrices Modules of formal solutions
2013/9/3
Picard-Vessiot extensions for ordinary differential and difference equations are well known and are at the core of the associated Galois theories. In this paper,we construct fundamental matrices and P...