The Resource Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, by Werner Balser, (electronic resource)

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, by Werner Balser, (electronic resource)

Label
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Title
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations
Statement of responsibility
by Werner Balser
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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 computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series
Member of
http://library.link/vocab/creatorName
Balser, Werner
Dewey number
515/.2432
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
OhjeAGPt-ik
Language note
English
LC call number
QA299.6-433
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Global analysis (Mathematics)
  • Analysis
Label
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, by Werner Balser, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [267]-288) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2000.
Extent
1 online resource (318 p.)
Form of item
online
Isbn
9780387225982
Media category
computer
Media type code
c
Other control number
10.1007/b97608
Specific material designation
remote
System control number
  • (CKB)111087027063568
  • (EBL)3035310
  • (SSID)ssj0000157244
  • (PQKBManifestationID)11160333
  • (PQKBTitleCode)TC0000157244
  • (PQKBWorkID)10131444
  • (PQKB)11065499
  • (DE-He213)978-0-387-22598-2
  • (MiAaPQ)EBC3035310
  • (EXLCZ)99111087027063568
Label
Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, by Werner Balser, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [267]-288) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2000.
Extent
1 online resource (318 p.)
Form of item
online
Isbn
9780387225982
Media category
computer
Media type code
c
Other control number
10.1007/b97608
Specific material designation
remote
System control number
  • (CKB)111087027063568
  • (EBL)3035310
  • (SSID)ssj0000157244
  • (PQKBManifestationID)11160333
  • (PQKBTitleCode)TC0000157244
  • (PQKBWorkID)10131444
  • (PQKB)11065499
  • (DE-He213)978-0-387-22598-2
  • (MiAaPQ)EBC3035310
  • (EXLCZ)99111087027063568

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