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Resolvent of nonautonomous linear delay functional differential equations
Nonautonomous Dynamical Systems, 2015 The aim of this paper is to give a complete proof of the formula for the resolvent of a nonautonomous linear delay functional differential equations given in the book of Hale and Verduyn Lunel [9] under the assumption alone of the continuity of the right-
Blot Joël, Koné Mamadou I.
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Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations
Discrete Dynamics in Nature and Society, 2021 Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
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Fractal and Fractional, 2023 Contrary to the initial-value problem for ordinary differential equations, where the classical theory of establishing the exact unique solvability conditions exists, the situation with the initial-value problem for linear functional differential ...
Natalia Dilna
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Linear stochastic differential equations with functional boundary conditions [PDF]
, 2002 We consider linear n-th order stochastic differential equations on [0,1], with linear boundary conditions supported by a finite subset of [0,1]. We study some features of the solution to these problems, and especially its conditional independence ...
Alabert, Aureli, Ferrante, Marco
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Linear Multistep Methods for Functional Differential Equations [PDF]
Mathematics of Computation, 1987 The author discusses linear multistep methods for functional differential equations which are correct for the jumps in the derivatives of the solution. The asymptotic behavior of the global discretization error is discussed as well as the implementation of these methods in predictor- corrector mode with step changing strategy based on the estimation of
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Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations
Mathematics, 2020 It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative eigenfunction.
Mihály Pituk
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Structure Constants in the $N=1$ Super-Liouville Field Theory [PDF]
, 1996 The symmetry algebra of $N=1$ Super-Liouville field theory in two dimensions is the infinite dimensional $N=1$ superconformal algebra, which allows one to prove, that correlation functions, containing degenerated fields obey some partial linear ...
Ambjorn +27 more
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Reduction of Linear Functional Systems using Fuhrmann's Equivalence
Sultan Qaboos University Journal for Science, 2016 Functional systems arise in the treatment of systems of partial differential equations, delay-differential equations, multidimensional equations, etc. The problem of reducing a linear functional system to a system containing fewer equations and unknowns ...
Mohamed S. Boudellioua
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On Fundamental Solution for Autonomous Linear Retarded Functional Differential Equations
Mathematics, 2020 This document focuses attention on the fundamental solution of an autonomous linear retarded functional differential equation (RFDE) along with its supporting cast of actors: kernel matrix, characteristic matrix, resolvent matrix; and the Laplace ...
Clement McCalla
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Linear functional differential equations with Property A
Journal of Mathematical Analysis and Applications, 2003 The paper deals with oscillatory properties of the linear functional- differential equation \[ u^{(n)}(t)+ \sum^m_{i=1} \int^{\sigma_i(t)}_{\tau_i(t)} u(s)\,d_s r_i(s, t)= 0, \] where \(n\geq 2\), \(\tau_i(t)\leq \sigma_i(t)\), \(\tau_i(t)\to \infty\) for \(t\to\infty\) and the functions \(r_i\) are nondecreasing in the first argument and Lebesgue ...
Grammatikopulos, M.K. +2 more
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