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Springer Proceedings in Mathematics & Statistics

Formal and Analytic Solutions of Diff. Equations

FASdiff, Alcalá de Henares, Spain, September 2017, Selected, Revised Contributions

Editors: Filipuk, Galina, Lastra, Alberto, Michalik, Sławomir (Eds.)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-99148-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-99147-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

These proceedings provide methods, techniques, different mathematical tools and recent results in the study of formal and analytic solutions to Diff. (differential, partial differential, difference, q-difference, q-difference-differential.... ) Equations.  They consist of selected contributions from the conference "Formal and Analytic Solutions of Diff.  Equations", held at Alcalá de Henares, Spain during September 4-8, 2017. Their topics include summability and asymptotic study of both ordinary and partial differential equations. The volume is divided into four parts. The first paper is a survey of the elements of nonlinear analysis. It describes the algorithms to obtain asymptotic expansion of solutions of nonlinear algebraic, ordinary differential, partial differential equations, and of systems of such equations. Five works on formal and analytic solutions of PDEs are followed by five papers on the study of solutions of ODEs. The proceedings conclude with five works on related topics, generalizations and applications. All contributions have been peer reviewed by anonymous referees chosen among the experts on the subject.

The volume will be of interest to graduate students and researchers in theoretical and applied mathematics, physics and engineering seeking an overview of the recent trends in the theory of formal and analytic solutions of functional (differential, partial differential, difference, q-difference, q-difference-differential) equations in the complex domain.


Table of contents (16 chapters)

  • Elements of Nonlinear Analysis

    Bruno, Alexander D.

    Pages 3-23

    Preview Buy Chapter 30,19 €
  • On the k-Summability of Formal Solutions for a Class of Higher Order Partial Differential Equations with Time-Dependent Coefficients

    Ichinobe, Kunio

    Pages 27-45

    Preview Buy Chapter 30,19 €
  • Singular Solutions to a System of Equations related to Ricci-Flat Kähler Metrics

    Lope, Jose Ernie C. (et al.)

    Pages 47-59

    Preview Buy Chapter 30,19 €
  • Hyperasymptotic Solutions for Certain Partial Differential Equations

    Michalik, Sławomir (et al.)

    Pages 61-78

    Preview Buy Chapter 30,19 €
  • The Stokes Phenomenon for Certain PDEs in a Case When Initial Data Have a Finite Set of Singular Points

    Tkacz, Bożena

    Pages 79-93

    Preview Buy Chapter 30,19 €

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-99148-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-99147-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Formal and Analytic Solutions of Diff. Equations
Book Subtitle
FASdiff, Alcalá de Henares, Spain, September 2017, Selected, Revised Contributions
Editors
  • Galina Filipuk
  • Alberto Lastra
  • Sławomir Michalik
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
256
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-99148-1
DOI
10.1007/978-3-319-99148-1
Hardcover ISBN
978-3-319-99147-4
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XII, 274
Number of Illustrations
31 b/w illustrations, 6 illustrations in colour
Topics