On the number of eigenvalues of a general nonlinear self-adjoint spectral problem for systems of ordinary differential equations (Q610391)
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scientific article; zbMATH DE number 5824156
| Language | Label | Description | Also known as |
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| English | On the number of eigenvalues of a general nonlinear self-adjoint spectral problem for systems of ordinary differential equations |
scientific article; zbMATH DE number 5824156 |
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On the number of eigenvalues of a general nonlinear self-adjoint spectral problem for systems of ordinary differential equations (English)
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8 December 2010
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The paper completes previous investigations on the number of eigenvalues for systems of ordinary differential equations. Herein, the original problem is modified such that, if the original data are real, all the appearing quantities are also real -- a major advantage in numerical implementation procedures. An efficient method for the computation of the number of eigenvalues without evaluating the eigenvalues themselves is presented for the original nonlinear problem by reducing it to a Hamiltonian type system previously investigated.
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eigenvalue
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number of eigenvalues
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Hamiltonian system
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homogeneous self-adjoint boundary value problem
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