Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter (Q2909653)
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scientific article; zbMATH DE number 6078245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter |
scientific article; zbMATH DE number 6078245 |
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Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter (English)
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6 September 2012
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linear Hamiltonian system
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self-adjoint eigenvalue problem
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proper focal point
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conjoined basis
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finite eigenvalue
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oscillation theorem
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normality
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quadratic functional
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0.97169495
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0.9657566
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0.92671835
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0.92484266
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0.9215869
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0.91939104
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The authors consider linear Hamiltonian differential systems with Dirichlet boundary conditions, which depend in general nonlinearly on the spectral parameter. Without the controllability (or normality) assumption, they determine the finite eigenvalues and prove an oscillation theorem. They also determine the corresponding geometric multiplicity of the finite eigenvalues and prove that the algebraic and geometric multiplicities coincide.
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