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Singular perturbations and scaling [PDF]
Discrete & Continuous Dynamical Systems - B, 2018 Scaling transformations involving a small parameter ({\em degenerate scalings}) are frequently used for ordinary differential equations that model (bio-) chemical reaction networks.
Lax, Christian, Walcher, Sebastian
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Singular perturbations and a theorem of Kisyński [PDF]
Journal of Mathematical Analysis and Applications, 1965 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/31989/1/0000031 ...
Joel Smoller
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Singular perturbations and singular arcs--Part I [PDF]
IEEE Transactions on Automatic Control, 1975 Singular perturbation theory is applied to obtain the asymptotic solution for the nearly singular optimal control of a constant linear system on a finite time interval. In the limit as the control cost is reduced to zero, the initial control is found to have an impulse-like behavior, while the outer solution agrees asymptotically with the familiar ...
Robert E. O’Malley, A. Jameson
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Singular Perturbations and Nonstandard Analysis [PDF]
Transactions of the American Mathematical Society, 1979 We study by methods of nonstandard analysis second order differential operators with zero order coefficients which are too singular to be defined by standard functions. In particular we study perturbations of the Laplacian in R 3 {R^3} given by potentials of the form λ
S. Albeverio +2 more
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On a class of singular perturbation problems
Journal of Mathematical Analysis and Applications, 1964 occurs in the theory of small transverse deflections of stretched thin elastic plates. Here U(X, y) is the deflection of the midplane of the plate, Au = u,, + uyy , and differentiation is indicated by subscripts. In the situation of interest, X is assumed large; it depends on the tension in the plate, the plate thickness, and certain material constants.
Jonathan C. Knowles, R.E. Messick
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Topics in singular perturbations
Advances in Mathematics, 1968 Robert E. O’Malley
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On singular perturbations in variational inequalities
Journal of Mathematical Analysis and Applications, 1983 AbstractThe convergence of the optimal cost of a stopping time problem uε as ε ↓ 0 is studied. An estimate of the rate of convergence when uε → 0 is given. Some properties of the optimal stopping times \̂gqε are also given.
O. Bennouna
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Singular Perturbations, Regularization and Extension Theory
, 1994 We present an abstract result on removing regularization for singular potentials which are not semibounded from below. The relation between ``right'' regularizations and ``right'' self-adjoint extensions of the perturbed Schr\"odinger operators is ...
Hagen Neidhardt, Valentin A. Zagrebnov
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Singular Perturbations on the Infinite Interval [PDF]
Transactions of the American Mathematical Society, 1966 Frank C. Hoppensteadt
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Singular perturbations of Cauchy's problem
Journal of Mathematical Analysis and Applications, 1968 Bertrand Latil
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