A singular eigenvalue problem for second order linear ordinary differential equations.
Takaŝi, Kusano, Naito, Manabu (1997)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “Stability Theorems for Singular Perturbation of Eigenvalues.”
A singular eigenvalue problem for second order linear ordinary differential equations.
On the summation of the singular series.
A. Arena (1986/87)
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On certain singular solutions of the partial differential equation... .
Gunnar Aronsson (1984)
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Growth conditions for the stability of a class of time-varying perturbed singular systems
Faten Ezzine, Mohamed Ali Hammami (2022)
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In this paper, we investigate the problem of stability of linear time-varying singular systems, which are transferable into a standard canonical form. Sufficient conditions on exponential stability and practical exponential stability of solutions of linear perturbed singular systems are obtained based on generalized Gronwall inequalities and Lyapunov techniques. Moreover, we study the problem of stability and stabilization for some classes of singular systems. Finally, we present a numerical...
Positive solutions and eigenvalue intervals of a singular third-order boundary value problem
Qingliu Yao (2011)
Annales Polonici Mathematici
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This paper studies positive solutions and eigenvalue intervals of a nonlinear third-order two-point boundary value problem. The nonlinear term is allowed to be singular with respect to both the time and space variables. By constructing a proper cone and applying the Guo-Krasnosel'skii fixed point theorem, the eigenvalue intervals for which there exist one, two, three or infinitely many positive solutions are obtained.
On a ...-limit of a Family of Anisotropic Singular Perturbations.
Dmitry Golovaty (1997)
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Integral Transforms and a Class of Singular S-Hermitian Eigenvalue Problems.
A. Dijksma, H.S.V. de Snoo (1973)
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Positive solutions for a singular second-order ordinary differential equation.
Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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On Threshold Eigenvalues and Resonances for the Linearized NLS Equation
V. Vougalter (2010)
Mathematical Modelling of Natural Phenomena
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We prove the instability of threshold resonances and eigenvalues of the linearized NLS operator. We compute the asymptotic approximations of the eigenvalues appearing from the endpoint singularities in terms of the perturbations applied to the original NLS equation. Our method involves such techniques as the Birman-Schwinger principle and the Feshbach map.