Results 91 to 100 of about 1,034,900 (267)
Resonance for Singular Perturbation Problems [PDF]
Consider the resonance for a second-order equation ey"-xpy’+ qy = 0. Another proof is given for the necessity of the Matkowsky condition and the connection with a regular eigenvalue problem is established. Also, if p, q are analytic, necessary and sufficient conditions are derived.
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Matrix Measures and Finite Rank Perturbations of Self-adjoint Operators
Matrix-valued measures provide a natural language for the theory of finite rank perturbations. In this paper we use this language to prove some new perturbation theoretic results.
Liaw, Constanze, Treil, Sergei
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Convergence of singular perturbations in singular linear systems
A singularly perturbed singular system of differential equations is studied. Sufficient and necessary conditions for convergence are obtained. The criterion is valid both for the homogeneous and for the nonhomogeneous equation if the functions are sufficiently smooth.
Miquel Salichs, Javier Tolsa
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We develop a high-order asymptotic expansion for the mean first passage time (MFPT) of the capture of Brownian particles by a small elliptical trap in a bounded two-dimensional region.
Sanchita Chakraborty +2 more
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This paper is devoted to investigating sliding mode control (SMC) for Markovian switching singular systems with time-varying delays and nonlinear perturbations.
Guowei Yang, Yonggui Kao, Wei Li
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Nonlinear diffusion on networks: Perturbations and consensus dynamics
In this paper, we study a class of equations representing nonlinear diffusion on networks. A particular instance of our model could be seen as a network equivalent of the porous-medium equation.
Riccardo Bonetto +1 more
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Parabolic singularly perturbed problems have been actively studied in recent years in connection with a large number of practical applications: chemical kinetics, synergetics, astrophysics, biology, and so on. In this work a singularly perturbed periodic
N. N. Nefedov, E. I. Nikulin
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Perturbing plane curve singularities
We describe the singularity of all but finitely-many germs in a pencil generated by two germs of plane curve sharing no tangent.
Casas, Eduardo, Peraire, Rosa
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A note on the perturbation of singular values
AbstractIn this note a variant of the classical perturbation theorem for singular values is given. The bounds explain why perturbations will tend to increase rather than decrease singular values of the same order of magnitude as the perturbation.
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Neuroimaging in combination with graph theory has been successful in analyzing the functional connectome. However almost all analysis are performed based on static graph theory. The derived quantitative graph measures can only describe a snap shot of the
Anke Meyer-Bäse +9 more
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