Discontinuous ordinary differential equations

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Discontinuous scalar functions and ordinary differential equations

Mathematical Systems Theory, 1974
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On the Cauchy problem for k-th order discontinuous ordinary differential equations

2016
Given a nonempty set Y ⊆ R n and a function f: [a, b] × (Rn)k × Y - > R, we are interested in the problem of finding u ε Wk,p([a,b],Rn) such that f(t,u(t),u'(t),...,u(k)(t)) = 0 for a.e. t ε [a,b], and u(i)(t0) = u0(i) for a11 i = 0 , . . . ,k - 1, where t0 ε [a, b] and (u0(0) ,u0(1) , . . . ,u0(k-1)) ε (Rn)k are given points.
CUBIOTTI, Paolo, Yao, J. C.
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On generalized ordinary differential equations possessing discontinuous solutions

Journal of Applied Mathematics and Mechanics, 1958
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Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1988
Claes Johnson
exaly

Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations

Applied Numerical Mathematics, 2016
Mahboub Baccouch
exaly

Superconvergence of the discontinuous Galerkin method for nonlinear second-order initial-value problems for ordinary differential equations

Applied Numerical Mathematics, 2017
Mahboub Baccouch
exaly

Uniqueness and existence results for ordinary differential equations

Journal of Mathematical Analysis and Applications, 2006
Seppo Heikkila, Rodrigo López Pouso
exaly

A high-order discontinuous Galerkin approximation to ordinary differential equations with applications to elastodynamics

IMA Journal of Numerical Analysis, 2018
Paola F Antonietti +2 more
exaly