Editors:
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 256)
Conference series link(s): FASdiff: Formal and Analytic Solutions of Diff. (differential, partial differential, difference, q-difference, q-difference-differential,…) Equations
Conference proceedings info: FASdiff 2017.
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Table of contents (16 papers)
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Front Matter
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A Survey on the Elements of Nonlinear Analysis
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Front Matter
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Summability of Divergent Solutions of PDEs
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Front Matter
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Summability of Divergent Solutions of ODEs
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Front Matter
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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 withfive 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.
Editors and Affiliations
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Institute of Mathematics, University of Warsaw, Warsaw, Poland
Galina Filipuk
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Departamento de Física y Matemáticas, University of Alcalá, Alcalá de Henares, Spain
Alberto Lastra
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Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszynski University, Warsaw, Poland
Sławomir Michalik
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
DOI: https://doi.org/10.1007/978-3-319-99148-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-319-99147-4Published: 25 September 2018
Softcover ISBN: 978-3-030-07570-5Published: 20 December 2018
eBook ISBN: 978-3-319-99148-1Published: 24 September 2018
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XII, 274
Number of Illustrations: 31 b/w illustrations, 6 illustrations in colour
Topics: Partial Differential Equations, Difference and Functional Equations