Search of rational solutions to differential and difference systems by means of formal series

С. А. Абрамов

Type: Article

Publication Date: 2015-03-01

Citations: 11

DOI: https://doi.org/10.1134/s0361768815020024

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+	Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations	2020	Igor Khavkine
+ PDF Chat	Solving the Cauchy Problem for a Three-dimensional Difference Equation in a Parallelepiped	2023	М. С. Апанович A. P. Lyapin К. В. Шадрин
+	Particular Solutions of Linear Differential and (q-) Difference Systems with Hypergeometric Right-hand Sides	2019	А. А. Ryabenko
+	Solving the Cauchy Problem for a Two-Dimensional Difference Equation at a Point Using Computer Algebra Methods	2021	М. С. Апанович A. P. Lyapin К. В. Шадрин
+	Reducing triangular systems of ODEs with rational coefficients, with applications to coupled Regge-Wheeler equations	2018	Igor Khavkine
+ PDF Chat	SOLVING THE CAUCHY PROBLEM FOR A THREE-DIMENSIONAL DIFFERENCE EQUATION IN A PARALLELEPIPED	2023	М. С. Апанович A. P. Lyapin К. В. Шадрин
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Works Cited by This (14)

Action	Title	Year	Authors
+	Factorization of Polynomials and GCD Computations for Finding Universal Denominators	2010	С. А. Абрамов Amal Gheffar D. E. Khmelnov
+	Rational solutions of matrix difference equations	1999	M. A. Barkatou
+	Search for Polynomial Solutions of Linear Functional Systems by Means of Induced Recurrences	2004	D. E. Khmelnov
+	Linear differential, difference and <i>q</i> -difference homogeneous equations having no rational solutions	2011	Amal Gheffar
+	Detecting Nonexistence of Rational Solutions of Linear Difference Equations in Early Stages of Computation	2015	Amal Gheffar
+ PDF Chat	On singular points of solutions of linear differential systems with polynomial coefficients	2012	С. А. Абрамов D. E. Khmelnov
+	Rational solutions of first order linear difference systems	1998	С. А. Абрамов M. A. Barkatou
+	Special formal series solutions of linear operator equations	2000	С. А. Абрамов Marko Petkovšek А. А. Ryabenko
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann
+	The Calculus of Finite Differences	1934	L. M. Milne-Thomson