Found 20 Documents (Results 1–20)
Uniform asymptotics of solutions to linear differential equations with holomorphic coefficients in the neighborhood of an infinitely. (English) Zbl 1527.34134
Resurgent Stokes data for Painlevé equations and two-dimensional quantum (super) gravity. (English) Zbl 07683788
Requantization method and its application to the construction of asymptotics for solutions of non-Fuchsian equations with holomorphic coefficients. (English. Russian original) Zbl 1514.34146
J. Math. Sci., New York 268, No. 1, 70-83 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 72-85 (2019).
Resurgent functions and nonlinear systems of differential and difference equations. (English) Zbl 1503.34162
Reviewer: Pascal Remy (Carrières-sur-Seine)
Application of resurgent analysis to the construction of asymptotics of linear differential equations with degeneration in coefficients. (English. Russian original) Zbl 1472.34157
J. Math. Sci., New York 257, No. 1, 61-73 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 61-73 (2019).
Convolution product and resurgence. (English) Zbl 1451.34109
Filipuk, Galina (ed.) et al., Complex differential and difference equations. Proceedings of the school and conference held at Będlewo, Poland, September 2–15, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 219-241 (2020).
Reviewer: Pascal Remy (Carrières-sur-Seine)
On asymptotics and resurgent structures of enumerative Gromov-Witten invariants. (English) Zbl 1439.14158
MSC:
14N35
On the singularity structure of WKB solution of the boosted Whittaker equation: its relevance to resurgent functions with essential singularities. (English) Zbl 1372.34140
Reviewer: Yoshitsugu Takei (Kyoto)
Resurgence of formal series solutions of nonlinear differential and difference equations. (English) Zbl 1354.34143
Asymptotics of solutions of differential equations with degeneracies in the case of resonance. (English. Russian original) Zbl 1286.35067
Dokl. Math. 87, No. 2, 164-166 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk, Vol. 449, No. 3, 259-262 (2013).
Reviewer: Thomas Kecker (London)
Asymptotics of the instantons of Painlevé I. (English) Zbl 1245.34087
Reviewer: Yoshitsugu Takei (Kyoto)
Differential equations with degeneration and resurgent analysis. (English. Russian original) Zbl 1221.34153
Differ. Equ. 46, No. 9, 1267-1286 (2010); translation from Differ. Uravn. 46, No. 9, 1259-1277 (2010).
Reviewer: Mihai Pascu (Bucureşti)
Resurgence of the Euler-Maclaurin summation formula. (English) Zbl 1166.34055
Reviewer: Vladimir P. Kostov (Nice)
Formal and numerical computations with resurgent functions. (English) Zbl 1117.65103
Reviewer: Thomas Rauber (Bayreuth)
On an integral representation of resurgent functions. (English. Russian original) Zbl 1065.30023
Differ. Equ. 37, No. 9, 1291-1302 (2001); translation from Differ. Uravn. 37, No. 9, 1229-1238 (2001).
Reviewer: Stanco Dimiev (Sofia)
Resurgent analysis in the theory of differential equations with singularities. (English) Zbl 0884.58094
Modèles de résurgence paramétrique: Fonctions d’Airy et cylindro-paraboliques. (French) Zbl 0867.34046
Weighted products and parametric resurgence. (English) Zbl 0834.34067
Boutet de Monvel, Louis (ed.), Analyse algébrique des perturbations singulières. I. Méthodes résurgentes. Conférences du symposium franco-japonais sur l’analyse algébrique des perturbations singulières, CIRM, Marseille-Luminy, France, October 20-26, 1991. Paris: Hermann. Trav. Cours. 47, 7-49 (1994).
Reviewer: V.Burjan (Praha)
Six lectures on transseries, analysable functions and the constructive proof of Dulac’s conjecture. (English) Zbl 0814.32008
Schlomiuk, Dana (ed.), Bifurcations and periodic orbits of vector fields. Proceedings of the NATO Advanced Study Institute and Séminaire de Mathématiques Supérieures, Montréal, Canada, July 13-24, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 408, 75-184 (1993).
Reviewer: A.G.Aleksandrov (Moskva)
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