Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily comput...
| Κύριος συγγραφέας: | |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York,
2000.
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| Σειρά: | Universitext
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Basic Properties of Solutions
- Singularities of First Kind
- Highest-Level Formal Solutions
- Asymptotic Power Series
- Integral Operators
- Summable Power Series
- Cauchy-Heine Transform
- Solutions of Highest Level
- Stokes’ Phenomenon
- Multisummable Power Series
- Ecalle’s Acceleration Operators
- Other Related Questions
- Applications in Other Areas, and Computer Algebra
- Some Historical Remarks.
