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Analytic solutions of functional equations /
The purpose of this volume is to examine bio-informatics and quantum information, which are growing rapidly at present, and to attempt to connect the two, with a view to enumerating and solving the many fundamental problems they entail. To this end, we look for interdisciplinary bridges in mathemati...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Prologue. 1.1. An example. 1.2. Basic definitions. 1.3. Notes
- 2. Sequences. 2.1. Lebesgue summable sequences. 2.2. Relatively summable sequences. 2.3. Uniformly summable sequences. 2.4. Properties of univariate sequences. 2.5. Properties of bivariate sequences. 2.6. Notes
- 3. Power series functions. 3.1. Univariate power series functions. 3.2. Univariate analytic functions. 3.3. Bivariate power series functions. 3.4. Bivariate analytic functions. 3.5. Multivariate power series and analytic functions. 3.6. Matrix power series and analytic functions. 3.7. Majorants. 3.8. Siegel's lemma. 3.9. Notes
- 4. Functional equations without differentiation. 4.1. Introduction. 4.2. Analytic implicit function theorem. 4.3. Polynomial and rational functional equations. 4.4. Linear equations. 4.5. Nonlinear equations. 4.6. Notes
- 5. Functional equations with differentiation. 5.1. Introduction. 5.2. Linear systems. 5.3. Neutral systems. 5.4. Nonlinear equations. 5.5. Cauchy-Kowalewski existence theorem. 5.6. Functional equations with first order derivatives. 5.7. Functional equations with higher order derivatives. 5.8. Notes. 6. Functional equations with iteration. 6.1. Equations without derivatives. 6.2. Equations with first order derivatives. 6.3. Equations with second order derivatives. 6.4 Equations with higher order derivatives. 6.5. Notes.