The parameter functionalization method in the eigenvalue problem
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Publication:1594329
zbMath0973.47014MaRDI QIDQ1594329
M. G. Yumagulov, Mark A. Krasnosel'skii
Publication date: 28 January 2001
Published in: Doklady Mathematics (Search for Journal in Brave)
eigenvalue problemiterative algorithmscomplete continuous linear operatormethod of parameter functionalizationNewton-Kantorovich iterations
Iterative procedures involving nonlinear operators (47J25) Eigenvalue problems for linear operators (47A75) Implicit function theorems; global Newton methods on manifolds (58C15)
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Boundaries of stability domains for equilibrium points of differential equations with parameters ⋮ Principal asymptotics in the problem on the Andronov-Hopf bifurcation and their applications ⋮ Methods for studying the stability of linear periodic systems depending on a small parameter ⋮ A study of the boundaries of stability regions in two-parameter dynamical systems ⋮ Bifurcation formulas and algorithms of constructing central manifolds of discrete dynamical systems
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