Results 1 to 10 of about 1,205,198 (248)
Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
Journal of Numerical Analysis and Approximation Theory, 2019 An elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered.
Calin-Ioan Gheorghiu, Bertin Zinsou
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Engineering Applications of Computational Fluid Mechanics, 2022 In this study, the laminar nanofluid flow in the microchannel with a discontinuous-boundary condition was investigated. Considering the slip condition, heat transfer and entropy generation were studied.
Suhong Liu +8 more
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On Hill's equation with a discontinuous coefficient
International Journal of Mathematics and Mathematical Sciences, 2003 We research the asymptotic formula for the lengths of the instability intervals of the Hill's equation with coefficients q(x) and r(x), where q(x) is piecewise continuous and r(x) has a piecewise continuous second derivative in open intervals (0,b) and ...
Ilkay Yaslan Karaca
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Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2021 High-power gears are widely used in various engineering fields. A gear transmission system is an extremely complex elastic system that produces complex vibrations under internal and external excitation. In this study, the excitation value in the gear was
Wangqiang XIAO +4 more
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Study on the Nonlinear Dynamic Behavior of Rattling Vibration in Gear Systems
Machines, 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
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International 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
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On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations
Mathematics, 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
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On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients
Advances in Nonlinear Analysis, 2019 In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space ...
Abdelwahed Mohamed, Chorfi Nejmeddine
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A Half-Inverse Problem for Impulsive Dirac Operator with Discontinuous Coefficient
Abstract and Applied Analysis, 2013 An inverse problem for Dirac differential operators with discontinuity conditions and discontinuous coefficient is studied. It is shown by Hochstadt and Lieberman's method that if the potential function in is prescribed over the interval , then a ...
Yalçın Güldü
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Error estimates for an augmented method for one-dimensional elliptic interface problems
Advances in Difference Equations, 2018 Elliptic interface problems have many important scientific and engineering applications. Interface problems are encountered when the computational domain involves multi-materials with different conductivities, densities, or permeability.
Qian Zhang +3 more
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