Solvability of the Cauchy problem for a polynomial difference operator and monomial bases for the quotients of a polynomial ring

DOI10.1134/S0037446615010097zbMath1362.39026OpenAlexW2005570753MaRDI QIDQ2352668

Evgeniĭ Konstantinovich Leĭnartas, Marina Stepanovna Apanovich

Publication date: 3 July 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446615010097

zbMATH Keywords

Cauchy problemdifference operatormonomial basis for quotient ring

Mathematics Subject Classification ID

Difference operators (39A70)

Related Items

Well-posedness of the Cauchy problem for multidimensional difference equations in rational cones, Recurrence relations for the sections of the generating series of the solution to the multidimensional difference equation, Bernoulli polynomials in several variables and summation of monomials over lattice points of a rational parallelotope, On correctness of Cauchy problem for a polynomial difference operator with constant coefficients, Solving the Cauchy problem for a two-dimensional difference equation at a point using computer algebra methods, Generating functions for vector partition functions and a basic recurrence relation, On the Correctness of Polynomial Difference Operators, Correctness of a Two-dimensional Cauchy Problem for a Polynomial Difference Operator with Constant Coefficients, On Formal Solutions of H¨ormander’s Initial-boundary Value Problem in the Class of Laurent Series, The Cauchy Problem for Multidimensional Difference Equations in Lattice Cones

Cites Work

• Basic properties of discrete analytic functions
• Solution of algebraic equations with banded Toeplitz matrices
• Linear recurrences with constant coefficients: The multivariate case
• Multidimensional versions of Poincaré's theorem for difference equations
• A New Proof to Ehrenpreis's Semilocal Quotient Structure Theorem
• Stability theory of difference schemes and iterative methods
• Solvability of the Cauchy Problem with a Polynomial Difference Operator
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