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Solving systems of linear functional equations with computer

2013 IEEE 4th International Conference on Cognitive Infocommunications (CogInfoCom), 2013
We present a computer program developed in the computer algebra system Maple, which determines the solutions of systems of linear functional equations of two variables.
Gergo Gyula Borus, Attila Gilányi
openaire   +1 more source

Regular systems of linear functional equations and applications

Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, 2008
The algorithmic classification of singularities of linear differential systems via the computation of Moser- and super-irreducible forms as introduced in [21] and [16] respectively has been widely studied in Computer Algebra ([8, 12, 22, 6, 10]). Algorithms have subsequently been given for other forms of systems such as linear difference systems [4, 3]
Moulay A. Barkatou   +2 more
openaire   +2 more sources

Regularity of functional equations and computer algebra systems

2016 7th IEEE International Conference on Cognitive Infocommunications (CogInfoCom), 2016
The main theme of this paper is summarizing the results on examining regularity of functional equations with computer algebra systems. These methods can be found in the PhD thesis and partially in some articles of the author. Additionally it deals with some other applications of CAS. There were used Maple(ver 15.0) and Sage(several versions) systems.
openaire   +1 more source

Semicontinuous solutions of systems of functional equations.

2004
The author considers the functional equation \[ F(\omega,u(\omega),u(g_1(\omega)),\dots,u(g_m(\omega)))=0 \leqno(1) \] where \(\omega \in \Omega\), \(\Omega\) metrizable topological space, \(g_j:\Omega \to \Omega\) (\(j=1,\dots,m\)) are given continuous functions, \(F:\Omega \times \mathbb R^{(1+m)n} \to \mathbb R^n\) and \(u\) is the unknown function.
openaire   +1 more source

Stability of coupled functional differential-difference equations

International Journal of Control, 2020
Pham Huu Anh Ngoc
exaly  

Regular and irregular solutions of a system of functional equations

Aequationes Mathematicae, 2006
Roland Girgensohn   +2 more
exaly  

Asymptotic behavior of solutions of a system of q-functional-difference equations

Applied Mathematics and Computation, 2014
Stevo Stevic
exaly  

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