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Topics on stability and periodicity in abstract differential equations /
This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those who...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific,
©2008.
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| Colección: | Series on concrete and applicable mathematics ;
v. 6. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Preliminaries. 1.1. Banach spaces and linear operators. 1.2. Strongly continuous semigroups of operators. 1.3. Spectral theory
- 2. Stability and exponential dichotomy. 2.1. Perron theorem. 2.2. Evolution semigroups and Perron theorem. 2.3. Stability theory. 2.4. Comments and further reading guide
- 3. Almost periodic solutions. 3.1. Evolution semigroups & periodic equations. 3.2. Sums of commuting operators. 3.3. Decomposition theorem. 3.4. Comments and further reading guide
- 4. Almost automorphic solutions. 4.1. The inhomogeneous linear equation. 4.2. Method of invariant subspaces and almost automorphic solutions of second-order differential equations. 4.3. Existence of almost automorphic solutions to semilinear differential equations. 4.4. Method of sums of commuting operators and almost automorphic functions. 4.5. Almost automorphic solutions of second order evolution equations. 4.6. The equations x'=f(t, x). 4.7. Comments and further reading guide
- 5. Nonlinear equations. 5.1. Periodic solutions of nonlinear equations. 5.2. Evolution semigroups and almost periodic solutions. 5.3. Comments and further reading guide.