Pontryagin principle for a Mayer problem governed by a delay functional differential equation
, 2016 We establish Pontryagin principles for a Mayer's optimal control problem governed by a functional differential equation. The control functions are piecewise continuous and the state functions are piecewise continuously differentiable.
Blot, Joël, Kon\', Mamadou Ibrahima
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Computability of Ordinary Differential Equations [PDF]
, 2018 In this paper we provide a brief review of several results about the computability of initial-value problems (IVPs) defined with ordinary differential equations (ODEs). We will consider a variety of settings and analyze how the computability of the IVP will be affected.
Graça, Daniel, Zhong, Ning
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Motion Planning of Uncertain Ordinary Differential Equation Systems [PDF]
, 2011 This work presents a novel motion planning framework, rooted in nonlinear programming theory, that treats uncertain fully and under-actuated dynamical systems described by ordinary differential equations.
Hays, Joe +3 more
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Numerical Solution of Stieltjes Differential Equations
Mathematics, 2020 This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations.
Francisco J. Fernández +1 more
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On Nonlinear Dynamics of the STAT5a Signaling Protein
Biomath, 2014 In this paper we model the dynamics of the cross talk between MEK/ERK and JAK/STAT signaling pathways by means of nonlinear ordinary differential equations.
Elena Nikolova +2 more
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Doubly Periodic Meromorphic Solutions of Autonomous Nonlinear Differential Equations
Моделирование и анализ информационных систем, 2014 The problem of constructing and classifying elliptic solutions of nonlinear differential equations is studied. An effective method enabling one to find an elliptic solution of an autonomous nonlinear ordinary differential equation is described.
M. V. Demina, N. A. Kudryashov
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Boundary value and expansion problems of ordinary linear differential equations [PDF]
, 1908 George D. Birkhoff
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Four Steps Implicit Method for the Solution of General Second Order Ordinary Differential Equations [PDF]
, 2009 Four steps implicit scheme for the solution of second order ordinary differential equation was derived through interpolation and collocation method. Newton polynomial approximation method was used to generate the unknown parameters in the corrector ...
Adesanya, A.O. +3 more
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Similarity solutions of Fokker-Planck equation with time-dependent coefficients
, 2011 In this work, we consider the solvability of the Fokker-Planck equation with both time-dependent drift and diffusion coefficients by means of the similarity method.
Bluman +21 more
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Numerical Solution of the Bagley-Torvik Equation Using the Integer-Order Derivatives Expansion
Science Journal of University of Zakho, 2018 Numerical solution of the well-known Bagley-Torvik equation is considered. The fractional-order derivative in the equation is converted, approximately, to ordinary-order derivatives up to second order.
Afrah S. Hasan
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