| Description |
1 online resource (264 pages) |
| Contents |
Front Cover; Contents; Preface; Authors; BASIC NOTATIONS; 1. Statement of Eigenvalue Problems. Basic Methods of Their Solution; 2. The Method of Accelerated Convergence for the Sturm- Liouville Problem; 3. Approximate Analytical Solution of Perturbed Eigenvalue Problems; 4. Generalized Sturm- Liouville Problem; 5. Asymptotics of Eigenvalues and Eigenfunctions of the Generalized Sturm- Liouville Problem for Higher Vibration Modes; 6. Solutions of Fourth-Order Self-Conjugate Problems. Oscillation Properties |
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7. The Method of Accelerated Convergence for Eigenvalue Problems for Fourth-Order Equations8. Perturbation Method in Eigenvalue Problems for Fourth-Order Equations; 9. Sturm- Liouville Problems for Vector-Valued Functions; 10. Vibrations and Stability of Elastic Systems; 11. Surface and Internal Waves in Heavy Ideal Fluid; 12. Parametric Vibrations of One-Dimensional Systems; 13. Vibrations of a Distributed Inhomogeneous System in a Rectangular Domain; 14. Free Vibrations of a Rectangular Membrane with Sharply Varying Surface Density |
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15. Free Vibrations of Elastic Systems in Elliptic DomainsReferences; Index |
| Summary |
Annotation This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high-precision asymptotic methods for determining eigenvalues and eigenfunctions of higher oscillation modes and consider numerous eigenvalue problems that appear in oscillation theory, acoustics, elasticity, hydrodynamics, geophysics, quantum mechanics, structural mechanics, electrodynamics, and microelectronics |
| Audience |
Scholarly & Professional C R C Press LLC |
| Form |
Electronic book
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| Author |
Nesterov, author
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Akulenko, Leonid D., author
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Nesterov, Sergei V., author
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CRC Press LLC
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| ISBN |
020340128X |
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9780203401286 |
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020340128X |
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