Exact observability and controllability for linear neutral type systems [PDF]
, 2015 The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool.
Rabah, Rabah, Sklyar, Grigory
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Invariant Measures for Dissipative Dynamical Systems: Abstract Results and Applications [PDF]
, 2012 In this work we study certain invariant measures that can be associated to the time averaged observation of a broad class of dissipative semigroups via the notion of a generalized Banach limit.
Chekroun, Micka ël D. +1 more
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Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay [PDF]
Opuscula Mathematica, 2012 We use a variant of Krasnoselskii's fixed point theorem by T. A. Burton to show that the nonlinear neutral differential equation with functional delay \[x'(t) = -a(t)h(x(t)) +c(t)x'(t-g(t)) + q(t,x(t) x(t-g(t)))\] has a periodic solution.
Ernest Yankson
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Asymptotic stability of a neutral integro-differential equation [PDF]
Opuscula Mathematica, 2006 The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
Gen-qiang Wang, Sui Sun Cheng
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On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties [PDF]
, 1997 We prove that for any affine variety S defined over Q there exist Shephard and Artin groups G such that a Zariski open subset U of S is biregular isomorphic to a Zariski open subset of the character variety Hom(G, PO(3))//PO(3). The subset U contains all
Kapovich, Michael, Millson, John
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Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
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Numerical Solutions of Neutral Stochastic Functional Differential Equations [PDF]
SIAM Journal on Numerical Analysis, 2008 This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$. The key contribution is to establish the strong mean square convergence theory of the Euler-Maruyama approximate solution under the local Lipschitz condition, the linear growth condition, and ...
Wu, Fuke +2 more
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Path Integral Approach to the Non-Relativistic Electron Charge Transfer [PDF]
, 2001 A path integral approach has been generalized for the non-relativistic electron charge transfer processes. The charge transfer - the capture of an electron by an ion passing another atom or more generally the problem of rearrangement collisions is ...
Berezin F A +16 more
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Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays
Complexity, 2020 An algorithm using the differential transformation which is convenient for finding numerical solutions to initial value problems for functional differential equations is proposed in this paper.
Josef Rebenda, Zuzana Pátíková
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Numerical Algorithm for Nonlinear Delayed Differential Systems of $n$th Order
, 2019 The purpose of this paper is to propose a semi-analytical technique convenient for numerical approximation of solutions of the initial value problem for $p$-dimensional delayed and neutral differential systems with constant, proportional and time varying
Rebenda, Josef, Šmarda, Zdeněk
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