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]
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
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Logistic Neumann problems with discontinuous coefficients [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Uniqueness for Some Diffusions with Discontinuous Coefficients
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
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VIBRATIONS OF SEMI-BOUNDED STRING INITIATED BY THE BOUNDARY DATA
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
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Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems
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
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Stability of Conservation Laws with Discontinuous Coefficients
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
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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
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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
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Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient [PDF]
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
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On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations
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
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