Suchergebnisse - Numerical approximation of solutions of functional-differential equations
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Approximations of Solutions to Abstract Neutral Functional Differential Equation
ISSN: 0163-0563, 1532-2467Veröffentlicht: Philadelphia, PA Taylor & Francis Group 12.01.2011Veröffentlicht in Numerical functional analysis and optimization (12.01.2011)“… In the present work, we study the approximations of solutions to the abstract neutral functional differential equations with bounded delay …”
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Numerical solution for a family of delay functional differential equations using step by step Tau approximations
ISSN: 2244-8659, 2244-8659Veröffentlicht: Universidad Simón Bolívar 01.12.2013Veröffentlicht in Bulletin of Computational Applied Mathematics (01.12.2013)“… This paper means to highlight the fact that the step by step Tau method is a natural and promising strategy in the numerical solution of functional differential equations …”
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Numerical approximation of nonlinear neutral stochastic functional differential equations
ISSN: 1598-5865, 1865-2085Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.03.2013Veröffentlicht in Journal of applied mathematics & computing (01.03.2013)“… The paper investigates numerical approximations for solution of neutral stochastic functional differential equation (NSFDE …”
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Numerical treatment of oscillatory functional differential equations
ISSN: 0377-0427, 1879-1778Veröffentlicht: Kidlington Elsevier B.V 01.09.2010Veröffentlicht in Journal of computational and applied mathematics (01.09.2010)“… (that is, those equations where all the solutions oscillate) under a numerical approximation. Our interest is in the preservation of qualitative properties of solutions under a numerical discretisation …”
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The numerical approximation of nonlinear functionals and functional differential equations
ISSN: 0370-1573, 1873-6270Veröffentlicht: Elsevier B.V 18.02.2018Veröffentlicht in Physics reports (18.02.2018)“… The fundamental importance of functional differential equations has been recognized in many areas of mathematical physics, such as fluid dynamics …”
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Hybrid stochastic functional differential equations with infinite delay: Approximations and numerics
ISSN: 0022-0396, 1090-2732Veröffentlicht: Elsevier Inc 25.11.2023Veröffentlicht in Journal of Differential Equations (25.11.2023)“… This paper is to investigate if the solution of a hybrid stochastic functional differential equation (SFDE …”
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Numerical solutions of stochastic functional differential equations with impulsive perturbations and Markovian switching
ISSN: 1751-570XVeröffentlicht: 01.11.2023Veröffentlicht in Nonlinear analysis. Hybrid systems (01.11.2023)Volltext
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Numerical algorithm for the variable-order Caputo fractional functional differential equation
ISSN: 0924-090X, 1573-269XVeröffentlicht: Dordrecht Springer Netherlands 01.08.2016Veröffentlicht in Nonlinear dynamics (01.08.2016)“… The underline variable-order FDE is then reduced to a system of algebraic equations, which greatly simplifies the solution process …”
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Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions
ISSN: 0362-546X, 1873-5215Veröffentlicht: Amsterdam Elsevier Ltd 15.11.2008Veröffentlicht in Nonlinear analysis (15.11.2008)“… This paper describes the method of quasilinearization for first-order nonlinear impulsive functional differential equations with anti-periodic boundary conditions …”
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Trotter-Kato approximations of stochastic neutral partial functional differential equations
ISSN: 0019-5588, 0975-7465Veröffentlicht: New Delhi Indian National Science Academy 01.09.2021Veröffentlicht in Indian journal of pure and applied mathematics (01.09.2021)“… In this paper, a stochastic neutral partial functional differential equation is studied in real separable Hilbert spaces …”
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Numerical Solutions of Neutral Stochastic Functional Differential Equations
ISSN: 0036-1429, 1095-7170Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2008Veröffentlicht in SIAM journal on numerical analysis (01.01.2008)“… 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 \ge \,0 …”
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An explicit approximation for super-linear stochastic functional differential equations
ISSN: 0304-4149Veröffentlicht: 01.03.2024Veröffentlicht in Stochastic processes and their applications (01.03.2024)Volltext
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Approximation for stochastic functional differential equation with past-dependent switching
ISSN: 1017-1398, 1572-9265Veröffentlicht: 17.09.2025Veröffentlicht in Numerical algorithms (17.09.2025)Volltext
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A Note on Exponential Stability for Numerical Solution of Neutral Stochastic Functional Differential Equations
ISSN: 2227-7390, 2227-7390Veröffentlicht: Basel MDPI AG 01.03.2022Veröffentlicht in Mathematics (Basel) (01.03.2022)“… This paper examines the numerical solutions of the neutral stochastic functional differential equation …”
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Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations
ISSN: 0035-5038, 1827-3491Veröffentlicht: Cham Springer International Publishing 01.11.2020Veröffentlicht in Ricerche di matematica (01.11.2020)“… analyses and numerical tests. The method combines the ideas of the analogous techniques developed separately for renewal equations and for retarded functional differential equations …”
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Existence, uniqueness and stability of the solutions to neutral stochastic functional differential equations with infinite delay
ISSN: 0096-3003, 1873-5649Veröffentlicht: Amsterdam Elsevier Inc 01.04.2009Veröffentlicht in Applied mathematics and computation (01.04.2009)“… In this paper, we obtain the existence and uniqueness of solutions to neutral stochastic functional differential equations with infinite delay at phase space BC ( ( - ∞ , 0 ] ; R d …”
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Tensor approximation of functional differential equations
ISSN: 2470-0053, 2470-0053Veröffentlicht: United States 01.07.2024Veröffentlicht in Physical review. E (01.07.2024)“… Functional differential equations (FDEs) play a fundamental role in many areas of mathematical physics, including fluid dynamics …”
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Stochastic perturbation of SIS model with bounded time-dependent parameters: formulation and numerical approximation
ISSN: 2238-3603, 1807-0302Veröffentlicht: Heidelberg Springer Nature B.V 01.03.2026Veröffentlicht in Computational & applied mathematics (01.03.2026)“… (t) are bounded time-dependent functions and ξt is a white noise. We verify that there is a global positive solution to the stochastic differential equation (SIS-Itô-SDE …”
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Spectral methods for nonlinear functionals and functional differential equations
ISSN: 2522-0144, 2197-9847Veröffentlicht: Cham Springer International Publishing 01.06.2021Veröffentlicht in Research in the mathematical sciences (01.06.2021)“… We present a rigorous convergence analysis for cylindrical approximations of nonlinear functionals, functional derivatives, and functional differential equations (FDEs …”
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Continuity and approximation properties of solutions to fractional neutral stochastic functional differential equations with non-Lipschitz coefficients
ISSN: 1744-2508, 1744-2516Veröffentlicht: Abingdon Taylor & Francis 19.05.2023Veröffentlicht in Stochastics (Abingdon, Eng. : 2005) (19.05.2023)“… This paper aims to investigate a fractional neutral stochastic functional differential equation (FNSFDE …”
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