| Autore |
Cabada Alberto
|
| Pubbl/distr/stampa |
London, England : , : Academic Press, , 2018
|
| Descrizione fisica |
1 recurso electrónico (254 p.)
|
| Disciplina |
515.352
|
| Soggetto topico |
Ecuación de Hill
Hill's equation
|
| ISBN |
0-12-804126-9
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
Machine generated contents note: ; 1. Introduction -- ; 1.1. Hill's Equation -- ; 1.2. Stability in the Sense of Lyapunov -- ; 1.3. Floquet's Theorem for the Hill's Equation -- References -- ; 2. Homogeneous Equation -- ; 2.1. Introduction -- ; 2.2. Sturm Comparison Theory -- ; 2.3. Spectral Properties of Dirichlet Problem -- ; 2.4. Spectral Properties of Mixed and Neumann Problems -- ; 2.5. Spectral Properties of the Periodic Problem: Intervals of Stability and Instability -- ; 2.6. Relation Between Eigenvalues of Neumann, Dirichlet, Periodic, and Antiperiodic Problems -- References -- ; 3. Nonhomogeneous Equation -- ; 3.1. Introduction -- ; 3.2. The Green's Function -- ; 3.3. Periodic Conditions -- ; 3.3.1. Properties of the Periodic Green's Function -- ; 3.3.2. Optimal Conditions for the Periodic MP and AMP -- ; 3.3.3. Explicit Criteria for the Periodic AMP and MP -- ; 3.3.4. More on Explicit Criteria -- ; 3.3.5. Examples -- ; 3.4. Non-Periodic Conditions -- ; 3.4.1. Neumann Problem -- ; 3.4.2. Dirichlet Problem -- ; 3.4.3. Relation Between Neumann and Dirichlet Problems -- ; 3.4.4. Mixed Problems and their Relation with Neumann and Dirichlet Ones -- ; 3.4.5. Order of Eigenvalues and Constant Sign of the Green's Function -- ; 3.4.6. Relations Between Green's Functions. Comparison Principles -- ; 3.4.7. Constant Sign for Non-Periodic Green's Functions -- ; 3.4.8. Global Order of Eigenvalues -- ; 3.4.9. Examples -- ; 3.5. General Second Order Equation -- ; 3.5.1. Periodic Problem -- ; 3.5.2. Non-Periodic Conditions -- References -- ; 4. Nonlinear Equations -- ; 4.1. Introduction -- ; 4.2. Fixed Point Theorems and Degree Theory -- ; 4.2.1. Leray-Schauder Degree -- ; 4.2.2. Fixed Point Theorems -- ; 4.2.3. Extremal Fixed Points -- ; 4.2.4. Monotone Operators -- ; 4.2.5. Non-increasing Operators -- ; 4.2.6. Non-decreasing Operators -- ; 4.2.7. Problems with Parametric Dependence -- ; 4.3. Lower and Upper Solutions Method -- ; 4.3.1. Well Ordered Lower and Upper Solutions -- ; 4.3.2. Existence of Extremal Solutions -- ; 4.3.3. Non-Well-Ordered Lower and Upper Solutions -- ; 4.4. Monotone Iterative Techniques -- ; 4.4.1. Well Ordered Lower and Upper Solutions -- ; 4.4.2. Reversed Ordered Lower and Upper Solutions -- References.
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| Record Nr. | UNINA-9910583381303321 |