Results 241 to 250 of about 39,621 (275)

Integration across discontinuities in ordinary differential equations using power series

SIMULATION, 1979
Numerical integration of ordinary differential equa tions containing nonanalytical functions is error- prone and time-consuming. Because of this problem, the simulation of the hydraulic servo drive of a machine tool produced unsatisfactory results. How ever, applying power-series expansions provided fast and accurate solutions.
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On the Neumann Problem for an Ordinary Differential Equation with Discontinuous Right-Hand Side

Differential Equations, 2005
The authors consider the following Neumann problem with discontinuous right-hand side \[ x''\in g(t,x,x'),\tag{1} \] \[ x'(0)=r,\;x'(T)=s, \tag{2} \] where \(g:U\rightarrow \mathbb{R}\) is a multifunction, \(U=(a,b)\times \mathbb{R}\times \mathbb{R ...
Zuev, A. V., Filippov, V. V.
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Superconvergence of discontinuous Galerkin solutions for higher-order ordinary differential equations

Applied Numerical Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An adaptive discontinuous Galerkin method for very stiff systems of ordinary differential equations

Applied Mathematics and Computation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fortin, A., Yakoubi, D.
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Superconvergence of a discontinuous finite element method for a nonlinear ordinary differential equation

Applied Mathematics and Computation, 2010
The authors consider the following initial value problem for nonlinear ordinary differential equations \[ u'=f(x,u), \quad t\in(0,T], \quad u(0)=u_{0}. \] Let \(\mathcal{T}_{h}:0=t_{0}
Deng, Kang, Xiong, Zhiguang
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Nonordered discontinuous upper and lower solutions for first-order ordinary differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2001
The author studies the first-order equations \[ x'(t)=f(t,x(t)), \text{ for a. e. } t \in I=[0,1], \quad x(0)=x_0, \] and \[ x'(t)=f(t,x(t)), \text{ for a. e. } t \in I=[0,1], \quad x(1)=y_0, \] where \(f:I\times \mathbb{R} \to \mathbb{R}\) is a Carathéodory function.
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On periodic solutions of ordinary differential equations with discontinuous right-hand side

Mathematical Notes, 2006
The author studies the existence of vector-valued periodic solutions of differential equations or inclusions of first and second order by a modification of the method of translation along trajectories due to Filippov. Such modification does not require the uniqueness of the solution of the Cauchy problem.
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Generalized Solutions to Ordinary Differential Equations with Discontinuous Right-Hand Sides Via Г-Convergence

1989
In the present paper we develop an idea of Prof.E. De Giorgi, which can be formulated as follows: “solutions to ODE may be obtained as minimizers of some functionals that are Γ-limits of appropriately chosen sequences of functionals defined on suitable functional spaces ”.
Zofia Denkowska, Zdzislaw Denkowski
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SINGULAR PERTURBATION FOR DISCONTINUOUS ORDINARY DIFFERENTIAL EQUATIONS

Symmetry and Perturbation Theory, 2007
M. A. TEIXEIRA, P. R. DA SILVA
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EXISTENCE RESULTS FOR DISCONTINUOUS ORDINARY DIFFERENTIAL EQUATIONS

EQUADIFF 2003, 2005
J. ÁNGEL CID, RODRIGO L. POUSO
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