Results 21 to 30 of about 172,917 (327)

Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient [PDF]

open access: yes, 2018
We prove strong convergence of order $1/4-\epsilon$ for arbitrarily small $\epsilon>0$ of the Euler-Maruyama method for multidimensional stochastic differential equations (SDEs) with discontinuous drift and degenerate diffusion coefficient.
Leobacher, Gunther   +1 more
core   +2 more sources

Logistic Neumann problems with discontinuous coefficients [PDF]

open access: yesANNALI DELL'UNIVERSITA' DI FERRARA, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Uniqueness for Some Diffusions with Discontinuous Coefficients

open access: yesThe Annals of Probability, 1991
The authors show the uniqueness of the martingale problem for a second order operator \(L\) where \(A\) is the matrix of its coefficients under the assumption that \(A\) is bounded, symmetric, uniformly positive definite and continuous on \(\mathbb{R}^ n\) except a countable set with at most one cluster point.
CERUTTI, MARIA CRISTINA   +2 more
openaire   +4 more sources

VIBRATIONS OF SEMI-BOUNDED STRING INITIATED BY THE BOUNDARY DATA

open access: yesSt. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019
Transverse vibrations of a semi-bounded string consisting of different materials are considered. The mathematical model is a homogeneous wave equation with piecewise constant coefficients.
Anikonov Dmitry, Konovalova Dina
doaj   +1 more source

Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems

open access: yesMachines, 2022
To reveal the nonlinear dynamic behavior of gear rattling vibration caused by gear backlash, a 2-DOF oscillator model with spring and damping elements was established. Based on the theory of discontinuous dynamical systems, the phase plane of gear motion
Yang Liu   +4 more
doaj   +1 more source

Stability of Conservation Laws with Discontinuous Coefficients

open access: yesJournal of Differential Equations, 1999
In this paper the authors study an interesting generalization of ``classical'' hyperbolic conservation laws taking the flux function that may depend discontinuously on the space variable. This is a model problem that arises in many important applications, such as traffic flow problem or two-phase flow in porous media.
Klausen, Runhild Aae   +1 more
openaire   +1 more source

A Mass-transfer Particle-tracking Method for Simulating Transport with Discontinuous Diffusion Coefficients

open access: yes, 2020
The problem of a spatially discontinuous diffusion coefficient ($D(\boldsymbol x)$) is one that may be encountered in hydrogeologic systems due to natural geological features or as a consequence of numerical discretization of flow properties.
Bolster, Diogo   +3 more
core   +1 more source

A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
A singular non-self-adjoint boundary value problem is considered. This problem has a discontinuous coefficient with a spectral parameter in the boundary condition. Some solutions of the eigenvalue equation are given.
A. A. Darwish
doaj   +1 more source

Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient [PDF]

open access: yes, 2004
The Cauchy problem for a multidimensional linear transport equation with discontinuous coefficient is investigated. Provided the coefficient satisfies a one-sided Lipschitz condition, existence, uniqueness and weak stability of solutions are obtained for
Bouchut, Francois   +2 more
core   +2 more sources

On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations

open access: yesMathematics, 2022
We investigated the finite/fixed-time stability (FNTS/FXTS) of discontinuous differential equations (DDEs) in this paper. To cope with differential equations that were discontinuous on the right-hand side, we utilized the Filippov solution, which is ...
Luke Li, Dongshu Wang
doaj   +1 more source

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