Results 41 to 50 of about 2,468,981 (349)
Linearization for Difference Equations with Infinite Delay
, 2023 In this article, we construct a conjugacy map for a linear difference equation with infinite delay and corresponding nonlinear perturbation. We also prove that the conjugacy map is one-one with some additional conditions. As an application of our result, we show that the cases of (uniform) exponential dichotomy follow from our result.
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Distribution of Wigner delay time from single channel disordered systems [PDF]
, 1997 We consider the scattering of an electron from a semi-infinite one-dimensional random medium. The random medium is characterized by force, $-\d V/\d L$ being the basic random variable.
A.M Jayannavar +24 more
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Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations. [PDF]
PLoS ONE, 2011 Time delay is known to induce sustained oscillations in many biological systems such as electroencephalogram (EEG) activities and gene regulations. Furthermore, interactions among delay-induced oscillations can generate complex collective rhythms, which ...
Ikuhiro Yamaguchi +4 more
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Identification of a hereditary system with distributed delay [PDF]
, 1985 We study the identification problem that arises in a linear hereditary system with distributed delay. This involves estimating an infinite-dimensional parameter and we use the method of sieves, proposed by Grenander, to solve this ...
Bagchi, Arunabha
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Boundary Value Problems, 2019 This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo, X. Shu, Yongjin Li, Fei Xu
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Equations with infinite delay: Blending the abstract and the concrete
Journal of Differential Equations, 2012 AbstractUsing perturbation theory for adjoint semigroups (a modification of sun-star calculus) we prove, in the case of infinite delay, the principle of linearized stability for nonlinear renewal equations, delay-differential equations and coupled systems of these two types of equations. Our results extend those of Diekmann et al.
Diekmann, O., Gyllenberg, M.
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Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay
Journal of Applied Mathematics, 2013 We make the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs).
Chunmei Zhang, Wenxue Li, Ke Wang
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On the computation of attractors for delay differential equations
, 2015 In this work we present a novel framework for the computation of finite dimensional invariant sets of infinite dimensional dynamical systems. It extends a classical subdivision technique [Dellnitz/Hohmann 1997] for the computation of such objects of ...
Dellnitz, Michael +2 more
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Stability for Nonautonomous Linear Differential Systems with Infinite Delay [PDF]
Journal of Dynamics and Differential Equations, 2020 We study the stability of general n -dimensional nonautonomous linear differential equations with infinite delays. Delay independent criteria, as well as criteria depending on the size of some finite delays are established.
T. Faria
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Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces
Abstract and Applied Analysis, 2013 We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable.
N. I. Mahmudov
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