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The main topics are: the equivalence of the input-output stability of the equation Lx = &mathsf; and the invertibility of the operator L in the class of casual operators; the equivalence of input-output and exponential stability; the equivalence of the dichotomy of solutions for the homogeneous equation Lx = 0 and the invertibility of the operator L; the properties of Green's function; the independence of the stability of an equation from the norm on the space of solutions; shift invariant functional differential equations in Banach space; the possibility of the reduction of an equation of neutral type to an equation of retarded type; special full subalgebras of integral and difference operators, and operators with unbounded memory; and the analogue of Fredholm's alternative for operators with almost periodic coefficients where one-sided invertibility implies two-sided invertibility.
Audience: This monograph will be of interest to students and researchers working in functional differential equations and operator theory and is recommended for graduate level courses.
The main topics are: the equivalence of the input-output stability of the equation Lx = &mathsf; and the invertibility of the operator L in the class of casual operators; the equivalence of input-output and exponential stability; the equivalence of the dichotomy of solutions for the homogeneous equation Lx = 0 and the invertibility of the operator L; the properties of Green's function; the independence of the stability of an equation from the norm on the space of solutions; shift invariant functional differential equations in Banach space; the possibility of the reduction of an equation of neutral type to an equation of retarded type; special full subalgebras of integral and difference operators, and operators with unbounded memory; and the analogue of Fredholm's alternative for operators with almost periodic coefficients where one-sided invertibility implies two-sided invertibility.
Audience: This monograph will be of interest to students and researchers working in functional differential equations and operator theory and is recommended for graduate level courses.
| Erscheinungsjahr: | 1999 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 456 |
| Reihe: | Mathematics and Its Applications |
| Inhalt: |
xx
434 S. |
| ISBN-13: | 9780792356240 |
| ISBN-10: | 0792356241 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Kurbatov, U. G. |
| Auflage: | 1999 |
| Hersteller: |
Springer Netherland
Springer Netherlands Mathematics and Its Applications |
| Maße: | 241 x 160 x 29 mm |
| Von/Mit: | U. G. Kurbatov |
| Erscheinungsdatum: | 30.04.1999 |
| Gewicht: | 0,846 kg |
| Erscheinungsjahr: | 1999 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 456 |
| Reihe: | Mathematics and Its Applications |
| Inhalt: |
xx
434 S. |
| ISBN-13: | 9780792356240 |
| ISBN-10: | 0792356241 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Kurbatov, U. G. |
| Auflage: | 1999 |
| Hersteller: |
Springer Netherland
Springer Netherlands Mathematics and Its Applications |
| Maße: | 241 x 160 x 29 mm |
| Von/Mit: | U. G. Kurbatov |
| Erscheinungsdatum: | 30.04.1999 |
| Gewicht: | 0,846 kg |
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