Results 11 to 20 of about 1,078,761 (224)

Singular perturbations of Cauchy's problem

open access: bronzeJournal of Mathematical Analysis and Applications, 1968
Bertrand Latil
openalex   +3 more sources

A Second-Order Singular Perturbation for Model Simplification for a Microgrid

open access: yesEnergies, 2023
As the integration of electronic-interfaced devices have increased, microgrid models have become too complex to perform a stability analysis. Thus, an effective model simplification method keeping most dynamics of the system becomes very essential ...
Xiao-Qi Yin, Bao-Shun Yang, Jun Tao
doaj   +1 more source

Long Wavelength Coherency in Well Connected Electric Power Networks

open access: yesIEEE Access, 2022
We investigate coherent oscillations in large scale transmission power grids, where large groups of generators respond in unison to a distant disturbance. Such long wavelength coherent phenomena are known as inter-area oscillations.
Julian Fritzsch, Philippe Jacquod
doaj   +1 more source

Singular anisotropic equations with a sign-changing perturbation

open access: yesNonlinear Analysis, 2023
We consider an anisotropic Dirichlet problem driven by the variable (p, q)-Laplacian (double phase problem). In the reaction, we have the competing effects of a singular term and of a superlinear perturbation. Contrary to most of the previous papers, we
Zhenhai Liu, Nikolaos S. Papageorgiou
doaj   +1 more source

Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations

open access: yesJournal of Inequalities and Applications, 2007
By virtue of an operator-theoretical approach, we deal with hyperbolic singular perturbation problems for integrodifferential equations. New convergence theorems for such singular perturbation problems are obtained, which generalize some previous results
Jin Liang, Ti-Jun Xiao, James Liu
doaj   +2 more sources

The Super-Diffusive Singular Perturbation Problem

open access: yesMathematics, 2020
In this paper we study a class of singularly perturbed defined abstract Cauchy problems.
Edgardo Alvarez, Carlos Lizama
doaj   +1 more source

Rank-one perturbation bounds for singular values of arbitrary matrices

open access: yesJournal of Inequalities and Applications, 2019
Rank-one perturbation of arbitrary matrices has many practical applications. In this paper, based on the relationship between the singular values and the eigenvalues, we discuss singular value variations and present two-side bounds of the singular values
Lei Zhu, Xiaofei Peng, Hao Liu
doaj   +1 more source

Singular perturbation theory

open access: yesNonlinear dynamics, 2019
When we apply the steady-state approximation (SSA) in chemi cal k netics, we typically argue that some of the intermediates are highly reactive, so that they a r removed as fast as they are made.
M. Roussel
semanticscholar   +2 more sources

Multiple Solutions of Singular Perturbation Problems [PDF]

open access: yes, 1972
Under certain conditions on g(x, u) we establish the existence and asymptotic behavior for small ε > 0 of multiple asymptotic solutions of the nonlinear boundary value problem εu" + u’ - g(x,u) = 0, 0 < x < 1, u’(0) - au(0)= A ≥ 0, a > 0, u’(1) + bu(
Cohen, Donald S.
core   +1 more source

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