Results 221 to 230 of about 9,112 (264)

Singular Perturbations in Manufacturing

SIAM Journal on Control and Optimization, 1993
Summary: 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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Singular perturbation methods

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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Singular singular-perturbation problems

1977
Abstract : 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 determinants for singular perturbations

Russian Journal of Mathematical Physics, 2014
Let A be a densely defined symmetric operator and let {Ae0 , Ae} be an ordered pair of proper extensions of A such that their resolvent difference is of trace class. We study the perturbation determinant ∆Ae0/Ae(·) of the singular pair {Ae0 , Ae} by using the boundary triplet approach.
Malamud, Mark M., Neidhardt, Hagen
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Singular Perturbation of Linear Systems with a Regular Singularity

Journal of Dynamical and Control Systems, 2002
The paper is devoted to the study of singularly perturbed inhomogeneous linear systems of the form \[ \varepsilon zx'= A(z,\varepsilon) x- f(z,\varepsilon), \] having a regular singularity at the origin. Summability properties of the unique formal solution, which is a power series with respect to the variable \(z\) and the perturbation parameter ...
Balser, W., Kostov, V.
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Singular Perturbation Problems with a Singularity of the Second Kind

SIAM Journal on Mathematical Analysis, 1983
The authors study a singular perturbation problem for the system of ordinary differential equations \[ (\Sigma_{\epsilon})\epsilon y'=t^{\alpha}h(y,z,t,\epsilon);\quad \alpha >-1,\quad z'=t^{\alpha}g(y,z,t,\epsilon);\quad t\in [1,+\infty [ \] the system being quasilinear in the sense of Ringhofer. The problem \(P_{\epsilon}\) investigated is a boundary
Markowich, Peter A., Ringhofer, Christian A.   +1 more
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Corner singularities and singular perturbations

ANNALI DELL UNIVERSITA DI FERRARA, 2001
Summary: A corner singularity expansion is developed for a singularly perturbed elliptic boundary value problem. The problem is set in a sector of the plane. In the expansion, particular attention is paid to the singular perturbation parameter. The result is used to give pointwise bounds on derivatives of the solution.
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Homogenization of a Singular Perturbation Problem

Journal of Mathematical Sciences, 2019
The authors investigate the passage to the homogenization limit done simultaneously with the passage to the limit in yet another independent parameter. Under suitable assumptions and choices of the ordering between the two small parameters, the authors are able to show that there is a case when the limit (weak) solution satisfies a standard Bernoulli ...
Kim, S., Shahgholian, H.
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On the Reduction of Coercive Singular Perturbations to Regular Perturbations

1989
Summary: It is shown that for a coercive singular perturbation \({\mathcal A}^{\epsilon}\) appearing in the linear elasticity theory, an appropriate choice of a reducing operator \(S^{\epsilon}\) leads to the asymptotic relation: \(S^{\epsilon}{\mathcal A}^{\epsilon}={\mathcal A}^ 0+\epsilon Q^{\epsilon}\), where \({\mathcal A}^ 0\) is the reduced ...
Frank, L. S., Heijstek, J. J.
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Singular perturbations in stochastic control

IFAC Proceedings Volumes, 1984
We consider a class of problems in stochastic control theory involving stochastic systems with small parameters. Using both analytical and probabilistic methods adapted to the special structures of singularly perturbed stochastic control problems, we develop a systematic methodology for their analysis.
Bensoussan, Alain, Blankenship, G.L.
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