The method of splitting in the theory of regular and singular perturbations

zbMath1009.34047MaRDI QIDQ1603044

Yu. A. Konyaev

Publication date: 6 August 2002

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral problemsbranchingregular and singular perturbationsfinite-dimensional operatorslinear operators of arbitrary ordersingularly perturbed multipoint boundary value problem

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16)

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Asymptotic analogs of the Floquet-Lyapunov theorem for some classes of periodic systems of ordinary differential equations ⋮ On a method for studying the norm and the stability of solutions

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