Results 171 to 180 of about 1,078,761 (224)
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1999
Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
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Abstract This Chapter is concerned with approximating to the solutions of differential equations containing a small parameter E in what might be called difficult cases where, for one reason or another, a straightforward expansion of the solution in powers of c is unobtainable or unusable.
D W Jordan, P Smith
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Singular Perturbations in Manufacturing
SIAM Journal on Control and Optimization, 1993Summary: An asymptotic analysis for a large class of stochastic optimization problems arising in manufacturing is presented. A typical example of the problems considered in this paper is a production planning problem with random capacity and demand.
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Semilinear singular perturbation
Nonlinear Analysis: Theory, Methods & Applications, 1995A second-order periodic boundary value problem is considered. The method of upper and lower solutions is applied to prove the existence of a solution.
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Singular perturbation potentials
Annals of Physics, 1977Abstract This is a perturbative analysis of the eigenvalues and eigenfunctions of Schrodinger operators of the form −Δ + A + λV, defined on the Hilbert space L2(Rn), where Δ = Σ i=1 n ∂ 2 ∂X i 2 , A is a potential function and V is a positive perturbative potential function which diverges at some finite point ...
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Singular singular-perturbation problems
1977Abstract : Consider initial problems for nonlinear singularly perturbed systems of the form epsilon sub z dot = f(z,t,epsilon) in the singular situation that f sub z(z,t,0) has a nontrivial null space. Under appropriate hypotheses, such problems have asymptotic solutions as epsilon approaches 0 for t or = 0 consisting of the sum of a function of t and ...
R. E. O'Malley, J. E. Flaherty
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Perturbation of linear forms of singular vectors under Gaussian noise
, 2015Let $A\in\mathbb{R}^{m\times n}$ be a matrix of rank $r$ with singular value decomposition (SVD) $A=\sum_{k=1}^r\sigma_k (u_k\otimes v_k),$ where $\{\sigma_k, k=1,\ldots,r\}$ are singular values of $A$ (arranged in a non-increasing order) and $u_k\in ...
V. Koltchinskii, Dong Xia
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Slow State Variables Feedback Stabilization for Semi-Markov Jump Systems With Singular Perturbations
IEEE Transactions on Automatic Control, 2018The slow state variables feedback stabilization problem for semi-Markov jump discrete-time systems with slow sampling singular perturbations is discussed in this work.
Hao Shen +3 more
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Geometric Singular Perturbation Theory Beyond the Standard Form
Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 2020M. Wechselberger
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The nonconforming virtual element method for fourth-order singular perturbation problem
Advances in Computational Mathematics, 2020Bei Zhang, Jikun Zhao, Shaochun Chen
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Singular perturbation methods in control : analysis and design
, 1986P. Kokotovic, H. Khalil, J. O'Reilly
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