By Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei, Nobuyuki Tose (eds.)

ISBN-10: 443173239X

ISBN-13: 9784431732396

ISBN-10: 4431732403

ISBN-13: 9784431732402

This quantity comprises 23 articles on algebraic research of differential equations and comparable themes, so much of which have been provided as papers on the overseas convention "Algebraic research of Differential Equations – from Microlocal research to Exponential Asymptotics" at Kyoto collage in 2005.

Microlocal research and exponential asymptotics are in detail attached and supply robust instruments which have been utilized to linear and non-linear differential equations in addition to many similar fields similar to genuine and intricate research, indispensable transforms, spectral concept, inverse difficulties, integrable platforms, and mathematical physics. The articles contained the following current many new effects and ideas.

This quantity is devoted to Professor Takahiro Kawai, who's one of many creators of microlocal research and who brought the means of microlocal research into exponential asymptotics. This commitment is made at the social gathering of Professor Kawai's sixtieth birthday as a token of deep appreciation of the $64000 contributions he has made to the sector. Introductory notes at the medical works of Professor Kawai also are included.

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Additional info for Algebraic Analysis of Differential Equations: from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai

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Virtual turning points [SKK] [Sh] [S] [T] [V] [Z] 43 M. Sato, T. Kawai and M. Kashiwara: Microfunctions and pseudodifferential equations, Lect. , No. 287, Springer, 1973, pp. 265-529. A. Shudo: A recipe for finding Stokes geometry in quantized H´enon map, RIMS Koukyuuroku, (ISSN 1880-2818), No. 1433, 2005, pp. 110-118. H. J. Silverstone: JWKB connection-formula problem revisited via Borel summation, Phys. Rev. , 55 (1985), 2523-2526. Y. Takei: Exact WKB analysis, and exact steepest descent method, – A sequel to “Algebraic analysis of singular perturbations”, Sˆ ugaku, 55 (2003), 350-367.

Delabaere, H. Dillinger et F. Pham: R´esurgence de Voros et p´eriodes des courbes hyperelliptiques, Ann. Inst. Fourier (Grenoble), 43(1993), 163–199. [E] J. Ecalle: Cinq applications des fonctions r´esurgentes, Pr´epublication d’Orsay 84T62, Univ. Paris-Sud, 1984. [JMU] M. Jimbo, T. Miwa and K. Ueno: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I, Physica D, 2(1981), 306–352. [O] K. Okamoto: Isomonodromic deformation and Painlev´e equations, and the Garnier systems, J.

Ecalle: Cinq applications des fonctions r´esurgentes, Pr´epublication d’Orsay 84T62, Univ. Paris-Sud, 1984. [JMU] M. Jimbo, T. Miwa and K. Ueno: Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I, Physica D, 2(1981), 306–352. [O] K. Okamoto: Isomonodromic deformation and Painlev´e equations, and the Garnier systems, J. Fac. Sci. Univ. Tokyo, Sect. IA, 33(1986), 575–618. [P] F. Pham: Resurgence, quantized canonical transformations, and multiinstanton expansions, Algebraic Analysis, Vol.

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Algebraic Analysis of Differential Equations: from Microlocal Analysis to Exponential Asymptotics Festschrift in Honor of Takahiro Kawai by Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei, Nobuyuki Tose (eds.)


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