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Titlebook: Recent Advances in Delay Differential and Difference Equations; Ferenc Hartung,Mihály Pituk Conference proceedings 2014 Springer Internati

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On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Determinid which enable finite difference approximations to the derivative in the stochastic equation to preserve the asymptotic behaviour of the derivative of the unperturbed equation, even though the solution of the stochastic equation is nowhere differentiable, almost surely.
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2194-1009 xistence, asymptotic and oscillatory properties of the solutions; stability theory; numerical approximations; and applications to real world phenomena using deterministic and stochastic discrete and continuous dynamical systems.978-3-319-37867-1978-3-319-08251-6Series ISSN 2194-1009 Series E-ISSN 2194-1017
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Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems Using Transformations,certain given QP system models. This way one can establish sufficient structural stability conditions based on the underlying reaction graph properties for the subset of QP system models that enable such a construction.
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Application of Advanced Integrodifferential Equations in Insurance Mathematics and Process Engineerormed into an integrodifferential equation with advances in arguments and an explicit solution is given without any assumption on the size distribution. We also present a link between the Lundberg fundamental equations of the Sparre Andersen risk model and the dual risk model.
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,Discrete Itô Formula for Delay Stochastic Difference Equations with Multiple Noises,For stochastic difference equation with multiple noises,finite delays and a parameter . we prove a variant of discrete Itô formula. Then we apply the formula to derive conditions which provide either .{lim... = 0} = 1 or .{liminf. | .. |  > 0} = 1, where .. is a solution of the equation with sufficiently small parameter ..
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