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Titlebook: Difference Equations and Discrete Dynamical Systems with Applications; 24th ICDEA, Dresden, Martin Bohner,Stefan Siegmund,Petr Stehlík Conf

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Biographie und Sozialpädagogische Forschungsolutions for the corresponding discrete model with periodic coefficients. We conclude the analysis of the SIS model by considering time-dependent vital dynamics and derive its explicit solution on a general time scale.
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Traveling Waves and Pattern Formation for Spatially Discrete Bistable Reaction-Diffusion Equationse FitzHugh–Nagumo equation, which can be analyzed using singular perturbation theory. We conclude by studying the behaviour of the Nagumo equation when discretization schemes are used that involve both space and time, or that are non-uniform but adaptive in space.
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Strongly Exponentially Separated Linear Difference Equationsly separated into two subspaces of the same dimension, then it must have an exponential dichotomy. The theory follows the same lines as the differential equation case with one important difference: for the roughness theorem a different kind of perturbation is needed.
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An Integrable SIS Model on Time Scalessolutions for the corresponding discrete model with periodic coefficients. We conclude the analysis of the SIS model by considering time-dependent vital dynamics and derive its explicit solution on a general time scale.
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Non-monotone Behavior of the Heavy Ball Methodonotonically. By use of this function convergence of the method is established under less restrictive assumptions (for instance, with the lack of convexity). We also suggest some restart techniques to speed up the method’s convergence.
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A Hilbert Space Approach to Fractional Difference Equations calculus, we relate the fractional sum to fractional powers of the operator . with the right shift . on weighted sequence spaces. Causality of the solution operator plays a crucial role for the description of initial value problems.
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