The constructive solution of linear systems of partial difference and differential equations with constant coefficients

Multidimensional Systems and Signal Processing

Volumn 12, Issue 3-4, 2001, Pages 253-308

  Oberst, Ulrich ^a   Pauer, Franz ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

Cauchy problem; Fundamental principle; Gr bner basis; Injective cogenerator; Multidimensional behaviour; Partial difference equation; Partial differential equation; Transfer operator

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; LINEAR SYSTEMS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; TRANSFER FUNCTIONS;

CAUCHY PROBLEM; GROBNER BASIS ALGORITHMS; TRANSFER OPERATORS;

SIGNAL THEORY;

EID: 0035385623     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011901522520     Document Type: Article

References (15)

1. Convolutional solutions of partial difference equations
2. Transfer operators and state spaces for discrete multidimensional linear systems
3. Multidimensional constant linear systems
4. Gröbner bases for ideals in monomial algebras and their application to systems of difference equations
5. Basis of power series solutions to linear, constant coefficient partial differential equations
6. From time - Series to linear systems. Parts I and II
7. A solution of the cauchy problem for multidimensional discrete linear shift - Invariant systems
8. The canonical cauchy problem for linear systems of partial difference equations with constant coefficients over the complete r-dimensional integral lattice Z