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Periodic Solutions of the Systems of Nonlinear Functional Equations
Journal of Mathematical Sciences, 2014The authors study the following system of nonlinear functional equations of the form \[ x(t) = F(t, x(q_1 t + f_1 (t, x(t))), \dots, x(q_k t + f_k (t, x(t)))), \tag{1} \] where \(F: \mathbb{R} \times \mathbb{R}^n \times \cdots \times \mathbb{R}^n \to \mathbb{R}^n\), \(f_i : \mathbb{R} \times \mathbb{R}^n \to \mathbb{R}\), and \(q_i\)'s are positive ...
Pelyukh, H. P., Syvak, O. A.
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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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Nontrivial Solutions of Systems of Perturbed Hammerstein Integral Equations With Functional Terms
Mathematics, 2021Gennaro Infante
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Computer Assisted Solution of Systems of Two Variable Linear Functional Equations
Aequationes Mathematicae, 2020Attila Gilanyi
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Functional Imaging of Cancer With Emphasis on Molecular Techniques
Ca-A Cancer Journal for Clinicians, 2007A Alavi
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Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
SIAM Journal on Control and Optimization, 2011Tobias Damm, Peter Benner
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Fuzzy Stability of a Rational Functional Equation and Its Relevance to System Design
International Journal of General Systems, 2019Hemen Dutta
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Runge–Kutta–Collocation Methods for Systems of Functional–Differential and Functional Equations
Advances in Computational Mathematics, 1999Yunkang Liu
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