Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients
From MaRDI portal
Publication:1894572
DOI10.1007/BF01235717zbMath0923.35042MaRDI QIDQ1894572
Publication date: 2 August 1995
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Multivariable systems, multidimensional control systems (93C35) Additive difference equations (39A10) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Spline approximation (41A15) Rings of differential operators (associative algebraic aspects) (16S32) Differential algebra (12H05)
Related Items (17)
Generalized convolution behaviors and topological algebra ⋮ On duality for partial differential (and difference) equations ⋮ Discrete systems and abelian sandpiles ⋮ Canonical state representations and Hilbert functions of multidimensional systems ⋮ Poles and zeros -- examples of the behavioral approach applied to discrete linear repetitive processes ⋮ A note on Ehrenpreis' fundamental principle ⋮ Linear PDE with constant coefficients ⋮ Control systems analysis for the Fornasini-Marchesini 2D systems model – progress after four decades ⋮ On homotopy and similarity in linear systems theory ⋮ The construction of Noetherian operators ⋮ Characterization of linear differential systems (in several variables) ⋮ On inverse systems and squarefree decomposition of zero-dimensional polynomial ideals ⋮ On invariant zeros of linear systems of PDEs ⋮ Linear systems, and ARMA- and Fliess models ⋮ Taylor approximations of multidimensional linear differential systems ⋮ Key problems in the extension of module-behaviour duality ⋮ On the minimal number of trajectories determining a multidimensional system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multidimensional constant linear systems
- Injective modules over Noetherian rings
- Théorie des distributions à valeurs vectorielles
- On multivariate E-splines
- Anwendungen des chinesischen Restsatzes. (Applications of the Chinese remainder theorem)
- From time series to linear system. I: Finite dimensional linear time invariant systems
- On polynomial ideals of finite codimension with applications to box spline theory
- The canonical Cauchy problem for linear systems of partial difference equations with constant coefficients over the complete \(r\)-dimensional integral lattice \(\mathbb{Z}^ r\)
- On the minimal number of trajectories determining a multidimensional system
- On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. II
- On multivariate splines, matroids, and the ext-functor
- On multivariate polynomial interpolation
- Local Dimension of Piecewise Polynomial Spaces, Syzygies, and Solutions of Systems of Partial Differential Equations
- On the local linear independence of translates of a box spline
- Dimension of Certain Kernel Spaces of Linear Operators
- On the Solution of Certain Systems of Partial Difference Equations and Linear Dependence of Translates of Box Splines
- Solvability of Systems of Linear Operator Equations
- Des catégories abéliennes
- Translates of Exponential Box Splines and their Related Spaces
This page was built for publication: Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients