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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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Resonance for Singular Perturbation Problems [PDF]
SIAM Journal on Applied Mathematics, 1981 Consider the resonance for a second-order equation εy"-xpy’+ qy = 0. Another proof is given for the necessity of the Matkowsky condition and the connection with a regular eigenvalue problem is established.
Kreiss, Heinz-Otto
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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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Entanglement entropy of singular surfaces under relevant deformations in holography
Journal of High Energy Physics, 2018 In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface.
Mostafa Ghasemi, Shahrokh Parvizi
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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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Singular Perturbation of Nonlinear Systems with Regular Singularity [PDF]
Discrete Dynamics in Nature and Society, 2018 We extend Balser-Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′=Fε,z,f with F a Cν-valued function, holomorphic in a polydisc
Domingos H. U. Marchetti +1 more
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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 on the Infinite Interval [PDF]
Transactions of the American Mathematical Society, 1966 Frank C. Hoppensteadt
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