Formal and Analytic Solutions of Diff. Equations : FASdiff, Alcalá de Henares, Spain, September 2017, Selected, Revised Contributions. 1st ed. 2018

種類:

電子ブック

責任表示:

edited by Galina Filipuk, Alberto Lastra, Sławomir Michalik

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Filipuk, Galina.
• Lastra, Alberto.
• Michalik, Sławomir.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 256

ISBN:

9783319991481 [3319991485]    

注記:

Preface -- Part I: A. D. Bruno, Elements of nonlinear analysis -- Part II Summability of Divergent solutions of PDEs: K. Ichinobe, On k-summability of formal solutions for a class of higher order partial differential equations with time-dependent coefficients -- J. E. Lope and M- P. F. Ona, Singular solutions to a system of equations related to Ricci-flat Kähler metrics -- S. Michalik and M. Suwinska, Huperasymptotic solutions for certain partial differential equations -- B. Tkacz, The Stokes phenomenon for certain PDEs in a case when initial data have a finite set of singular points -- H. Yamane, Soliton resolution for the focusing integrable discrete nonlinear Schrödinger equation -- A. D. Bruno, Complicated and exotic expansions of solutions to the Painlevé equations -- Part III Summability of Divergent solutions of ODEs: P. Pavis d’Esdurac, The Borel transform values and its singularities -- A. Shafarevich, Quantization conditions on Riemannian surfaces and spectral series of non-selfadjoint operators --
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 app

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