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Solving systems of linear functional equations with computer
2013 IEEE 4th International Conference on Cognitive Infocommunications (CogInfoCom), 2013We 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
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Regular systems of linear functional equations and applications
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, 2008The 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
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Regularity of functional equations and computer algebra systems
2016 7th IEEE International Conference on Cognitive Infocommunications (CogInfoCom), 2016The 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.
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Semicontinuous solutions of systems of functional equations.
2004The 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.
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Stability of coupled functional differential-difference equations
International Journal of Control, 2020Pham Huu Anh Ngoc
exaly
Regular and irregular solutions of a system of functional equations
Aequationes Mathematicae, 2006Roland Girgensohn +2 more
exaly
Asymptotic behavior of solutions of a system of q-functional-difference equations
Applied Mathematics and Computation, 2014Stevo Stevic
exaly

