Broucke, Frederik; Oparnica, Ljubica Micro-local and qualitative analysis of the fractional Zener wave equation. (English) Zbl 1486.35415 J. Differ. Equations 321, 217-257 (2022). MSC: 35R11 35A18 35A27 35B65 41A60 74J05 74D05 PDF BibTeX XML Cite \textit{F. Broucke} and \textit{L. Oparnica}, J. Differ. Equations 321, 217--257 (2022; Zbl 1486.35415) Full Text: DOI OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences. (English) Zbl 1476.30133 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 181, 18 p. (2021). MSC: 30D60 30E05 47A57 34E05 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 181, 18 p. (2021; Zbl 1476.30133) Full Text: DOI arXiv OpenURL
Mégret, Lucile; Demongeot, Jacques Gevrey solutions of singularly perturbed differential equations, an extension to the non-autonomous case. (English) Zbl 1455.34060 Discrete Contin. Dyn. Syst., Ser. S 13, No. 8, 2145-2163 (2020). MSC: 34E15 34E05 37C60 92C35 PDF BibTeX XML Cite \textit{L. Mégret} and \textit{J. Demongeot}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 8, 2145--2163 (2020; Zbl 1455.34060) Full Text: DOI OpenURL
Tahara, Hidetoshi On the summability of formal solutions of some linear \(q\)-difference-differential equations. (English) Zbl 1447.35115 Funkc. Ekvacioj, Ser. Int. 63, No. 2, 259-291 (2020). MSC: 35C20 35C10 39A13 PDF BibTeX XML Cite \textit{H. Tahara}, Funkc. Ekvacioj, Ser. Int. 63, No. 2, 259--291 (2020; Zbl 1447.35115) Full Text: DOI arXiv OpenURL
Remy, Pascal Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems. (English) Zbl 1437.35150 J. Dyn. Control Syst. 26, No. 1, 69-108 (2020). Reviewer: Luigi Rodino (Torino) MSC: 35C10 35C20 PDF BibTeX XML Cite \textit{P. Remy}, J. Dyn. Control Syst. 26, No. 1, 69--108 (2020; Zbl 1437.35150) Full Text: DOI HAL OpenURL
De Maesschalck, Peter; Kenens, Karel Gevrey asymptotic properties of slow manifolds. (English) Zbl 07141382 Nonlinearity 33, No. 1, 341-387 (2020). MSC: 34E15 34C45 34E05 PDF BibTeX XML Cite \textit{P. De Maesschalck} and \textit{K. Kenens}, Nonlinearity 33, No. 1, 341--387 (2020; Zbl 07141382) Full Text: DOI OpenURL
Tahara, Hidetoshi; Yamazawa, Hiroshi A note on \(G_q\)-summability of formal solutions of some linear \(q\)-difference-differential equations. (English) Zbl 1431.39004 RIMS Kôkyûroku Bessatsu B75, 113-121 (2019). MSC: 39A13 39A70 39A06 PDF BibTeX XML Cite \textit{H. Tahara} and \textit{H. Yamazawa}, RIMS Kôkyûroku Bessatsu B75, 113--121 (2019; Zbl 1431.39004) Full Text: arXiv OpenURL
Jiménez-Garrido, Javier; Sanz, Javier; Schindl, Gerhard Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes. (English) Zbl 1403.30012 J. Math. Anal. Appl. 469, No. 1, 136-168 (2019). MSC: 30E15 PDF BibTeX XML Cite \textit{J. Jiménez-Garrido} et al., J. Math. Anal. Appl. 469, No. 1, 136--168 (2019; Zbl 1403.30012) Full Text: DOI arXiv OpenURL
Hoang, Luan T.; Martinez, Vincent R. Asymptotic expansion for solutions of the Navier-Stokes equations with non-potential body forces. (English) Zbl 1394.35130 J. Math. Anal. Appl. 462, No. 1, 84-113 (2018). MSC: 35C20 35Q30 76D05 PDF BibTeX XML Cite \textit{L. T. Hoang} and \textit{V. R. Martinez}, J. Math. Anal. Appl. 462, No. 1, 84--113 (2018; Zbl 1394.35130) Full Text: DOI arXiv OpenURL
Lastra, Alberto; Malek, Stéphane Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations. (English) Zbl 1404.35092 Filipuk, Galina (ed.) et al., Analytic, algebraic and geometric aspects of differential equations. Bȩdlewo, Poland, September 6–19, 2015. Cham: Birkhäuser/Springer (ISBN 978-3-319-52841-0/hbk; 978-3-319-52842-7/ebook). Trends in Mathematics, 415-427 (2017). MSC: 35C10 35C20 PDF BibTeX XML Cite \textit{A. Lastra} and \textit{S. Malek}, in: Analytic, algebraic and geometric aspects of differential equations. Będlewo, Poland, September 6--19, 2015. Cham: Birkhäuser/Springer. 415--427 (2017; Zbl 1404.35092) Full Text: DOI OpenURL
Malek, Stéphane On parametric Gevrey asymptotics for a \(q\)-analog of some linear initial value problem. (English) Zbl 1395.35069 Funkc. Ekvacioj, Ser. Int. 60, No. 1, 21-63 (2017). Reviewer: Kunihiko Kajitani (Ibaraki) MSC: 35C10 35C20 35A22 PDF BibTeX XML Cite \textit{S. Malek}, Funkc. Ekvacioj, Ser. Int. 60, No. 1, 21--63 (2017; Zbl 1395.35069) Full Text: DOI OpenURL
Hoang, Luan T.; Martinez, Vincent R. Asymptotic expansion in Gevrey spaces for solutions of Navier-Stokes equations. (English) Zbl 1375.35317 Asymptotic Anal. 104, No. 3-4, 167-190 (2017). MSC: 35Q30 76D05 35C20 35D30 35B65 PDF BibTeX XML Cite \textit{L. T. Hoang} and \textit{V. R. Martinez}, Asymptotic Anal. 104, No. 3--4, 167--190 (2017; Zbl 1375.35317) Full Text: DOI arXiv OpenURL
Remy, Pascal Gevrey order and summability of formal series solutions of certain classes of inhomogeneous linear integro-differential equations with variable coefficients. (English) Zbl 1372.35070 J. Dyn. Control Syst. 23, No. 4, 853-878 (2017). MSC: 35C10 35C20 40B05 PDF BibTeX XML Cite \textit{P. Remy}, J. Dyn. Control Syst. 23, No. 4, 853--878 (2017; Zbl 1372.35070) Full Text: DOI HAL OpenURL
Lastra, A.; Malek, S.; Sanz, J. Strongly regular multi-level solutions of singularly perturbed linear partial differential equations. (English) Zbl 1353.35033 Result. Math. 70, No. 3-4, 581-614 (2016). MSC: 35B25 35C10 35C20 40C10 PDF BibTeX XML Cite \textit{A. Lastra} et al., Result. Math. 70, No. 3--4, 581--614 (2016; Zbl 1353.35033) Full Text: DOI arXiv OpenURL
Kenens, Karel Summability of canard-heteroclinic saddle connections. (English) Zbl 1365.34100 J. Differ. Equations 261, No. 11, 5992-6028 (2016). Reviewer: Jörg Härterich (Bochum) MSC: 34E17 34E15 34E05 34E10 34C45 PDF BibTeX XML Cite \textit{K. Kenens}, J. Differ. Equations 261, No. 11, 5992--6028 (2016; Zbl 1365.34100) Full Text: DOI OpenURL
Tahara, Hidetoshi; Yamazawa, Hiroshi \(q\)-analogue of summability of formal solutions of some linear \(q\)-difference-differential equations. (English) Zbl 1329.35104 Opusc. Math. 35, No. 5, 713-738 (2015). MSC: 35C10 35C20 39A13 PDF BibTeX XML Cite \textit{H. Tahara} and \textit{H. Yamazawa}, Opusc. Math. 35, No. 5, 713--738 (2015; Zbl 1329.35104) Full Text: DOI OpenURL
Parusnikova, Anastasia V. On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity. (English) Zbl 1331.34167 Opusc. Math. 34, No. 3, 591-599 (2014). MSC: 34M55 34M25 34M30 PDF BibTeX XML Cite \textit{A. V. Parusnikova}, Opusc. Math. 34, No. 3, 591--599 (2014; Zbl 1331.34167) Full Text: DOI arXiv OpenURL
Sanz, Javier Flat functions in Carleman ultraholomorphic classes via proximate orders. (English) Zbl 1308.30051 J. Math. Anal. Appl. 415, No. 2, 623-643 (2014). MSC: 30F15 PDF BibTeX XML Cite \textit{J. Sanz}, J. Math. Anal. Appl. 415, No. 2, 623--643 (2014; Zbl 1308.30051) Full Text: DOI arXiv OpenURL
Cardin, Franco; Gramchev, Todor; Lovison, Alberto Asymptotic analysis of diffraction integrals in Gevrey spaces. (English) Zbl 1296.78003 Acta Appl. Math. 132, No. 1, 177-187 (2014). MSC: 78A05 41A60 58J37 PDF BibTeX XML Cite \textit{F. Cardin} et al., Acta Appl. Math. 132, No. 1, 177--187 (2014; Zbl 1296.78003) Full Text: DOI OpenURL
Lastra, Alberto; Malek, Stéphane; Sanz, Javier On Gevrey solutions of threefold singular nonlinear partial differential equations. (English) Zbl 1320.35150 J. Differ. Equations 255, No. 10, 3205-3232 (2013). MSC: 35C10 35C20 PDF BibTeX XML Cite \textit{A. Lastra} et al., J. Differ. Equations 255, No. 10, 3205--3232 (2013; Zbl 1320.35150) Full Text: DOI OpenURL
Ramis, Jean-Pierre; Sauloy, Jacques; Zhang, Changgui Local analytic classification of \(q\)-difference equations. (English) Zbl 1320.39008 Astérisque 355. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-775-9/pbk). vi, 151 p. (2013). Reviewer: Narcisa C. Apreutesei (Iaşi) MSC: 39A13 39-02 41A60 40B99 34M50 PDF BibTeX XML Cite \textit{J.-P. Ramis} et al., Local analytic classification of \(q\)-difference equations. Paris: Société Mathématique de France (SMF) (2013; Zbl 1320.39008) Full Text: arXiv OpenURL
Fruchard, Augustin; Schäfke, Reinhard Composite asymptotic expansions. (English) Zbl 1269.34002 Lecture Notes in Mathematics 2066. Berlin: Springer (ISBN 978-3-642-34034-5/pbk; 978-3-642-34035-2/ebook). x, 161 p. (2013). Reviewer: Vladimir Sobolev (Samara) MSC: 34-02 34Exx 34M30 34M60 41A60 PDF BibTeX XML Cite \textit{A. Fruchard} and \textit{R. Schäfke}, Composite asymptotic expansions. Berlin: Springer (2013; Zbl 1269.34002) Full Text: DOI OpenURL
Elgart, Alexander; Hagedorn, George A. A note on the switching adiabatic theorem. (English) Zbl 1283.81034 J. Math. Phys. 53, No. 10, 102202, 14 p. (2012). Reviewer: Gernot Schaller (Berlin) MSC: 81P68 35Q41 81Q05 68Q12 34E05 70H11 PDF BibTeX XML Cite \textit{A. Elgart} and \textit{G. A. Hagedorn}, J. Math. Phys. 53, No. 10, 102202, 14 p. (2012; Zbl 1283.81034) Full Text: DOI arXiv OpenURL
Lastra, Alberto; Malek, Stéphane; Sanz, Javier On \(q\)-asymptotics for \(q\)-difference-differential equations with Fuchsian and irregular singularities. (English) Zbl 1402.35079 Balser, Werner (ed.) et al., Formal and analytic solutions of differential and difference equations. Proceedings of the conference, Bȩdlewo, Poland, August 8–13, 2011. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-16-4/pbk). Banach Center Publications 97, 73-90 (2012). MSC: 35F15 35C10 44A10 PDF BibTeX XML Cite \textit{A. Lastra} et al., Banach Cent. Publ. 97, 73--90 (2012; Zbl 1402.35079) Full Text: DOI OpenURL
Lastra, Alberto; Mozo-Fernández, Jorge; Sanz, Javier Strong asymptotic expansions in a multidirection. (English) Zbl 1263.41020 Funkc. Ekvacioj, Ser. Int. 55, No. 2, 317-345 (2012). Reviewer: Aurelian Bejancu (Safat) MSC: 41A60 41A63 40C10 46E15 PDF BibTeX XML Cite \textit{A. Lastra} et al., Funkc. Ekvacioj, Ser. Int. 55, No. 2, 317--345 (2012; Zbl 1263.41020) Full Text: DOI arXiv OpenURL
De Maesschalck, Peter; Popović, Nikola Gevrey properties of the asymptotic critical wave speed in a family of scalar reaction-diffusion equations. (English) Zbl 1241.35039 J. Math. Anal. Appl. 386, No. 2, 542-558 (2012). Reviewer: Luigi Rodino (Torino) MSC: 35C07 35B40 35B08 35K58 35K57 PDF BibTeX XML Cite \textit{P. De Maesschalck} and \textit{N. Popović}, J. Math. Anal. Appl. 386, No. 2, 542--558 (2012; Zbl 1241.35039) Full Text: DOI OpenURL
Costin, Ovidiu; Garoufalidis, Stavros Resurgence of the Kontsevich-Zagier series. (English. French summary) Zbl 1238.57016 Ann. Inst. Fourier 61, No. 3, 1225-1258 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 57M27 40D99 PDF BibTeX XML Cite \textit{O. Costin} and \textit{S. Garoufalidis}, Ann. Inst. Fourier 61, No. 3, 1225--1258 (2011; Zbl 1238.57016) Full Text: DOI arXiv EuDML Link OpenURL
Aguareles, M.; Baldomá, I. Structure and Gevrey asymptotic of solutions representing topological defects to some partial differential equations. (English) Zbl 1241.34028 Nonlinearity 24, No. 10, 2813-2847 (2011). Reviewer: Daniel Franco Leis (Madrid) MSC: 34B18 34E05 34B40 34A25 PDF BibTeX XML Cite \textit{M. Aguareles} and \textit{I. Baldomá}, Nonlinearity 24, No. 10, 2813--2847 (2011; Zbl 1241.34028) Full Text: DOI OpenURL
Lastra, Alberto; Sanz, Javier Extension operators in Carleman ultraholomorphic classes. (English) Zbl 1210.47025 J. Math. Anal. Appl. 372, No. 1, 287-305 (2010). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A20 46E15 46E40 PDF BibTeX XML Cite \textit{A. Lastra} and \textit{J. Sanz}, J. Math. Anal. Appl. 372, No. 1, 287--305 (2010; Zbl 1210.47025) Full Text: DOI OpenURL
Iooss, G.; Rucklidge, A. M. On the existence of quasipattern solutions of the Swift-Hohenberg equation. (English) Zbl 1195.35041 J. Nonlinear Sci. 20, No. 3, 361-394 (2010). MSC: 35B32 35C20 40G10 52C23 35K58 35B36 37K55 PDF BibTeX XML Cite \textit{G. Iooss} and \textit{A. M. Rucklidge}, J. Nonlinear Sci. 20, No. 3, 361--394 (2010; Zbl 1195.35041) Full Text: DOI arXiv OpenURL
Garoufalidis, Stavros Chern-Simons theory, analytic continuation and arithmetic. (English) Zbl 1189.57010 Acta Math. Vietnam. 33, No. 3, 335-362 (2008). MSC: 57M27 57N10 57M25 PDF BibTeX XML Cite \textit{S. Garoufalidis}, Acta Math. Vietnam. 33, No. 3, 335--362 (2008; Zbl 1189.57010) Full Text: arXiv OpenURL
Olde Daalhuis, A. B. Mixed Gevrey asymptotics. (English) Zbl 1151.34070 Anal. Appl., Singap. 6, No. 2, 151-168 (2008). MSC: 34M40 34E05 34M30 34M35 PDF BibTeX XML Cite \textit{A. B. Olde Daalhuis}, Anal. Appl., Singap. 6, No. 2, 151--168 (2008; Zbl 1151.34070) Full Text: DOI OpenURL
Kamotski, Vladimir; Matthies, Karsten; Smyshlyaev, Valery P. Exponential homogenization of linear second order elliptic PDEs with periodic coefficients. (English) Zbl 1213.35062 SIAM J. Math. Anal. 38, No. 5, 1565-1587 (2007). Reviewer: Marco Biroli (Milano) MSC: 35B27 35C20 35J25 74Q05 PDF BibTeX XML Cite \textit{V. Kamotski} et al., SIAM J. Math. Anal. 38, No. 5, 1565--1587 (2007; Zbl 1213.35062) Full Text: DOI Link OpenURL
De Maesschalck, P. Gevrey properties of real planar singularly perturbed systems. (English) Zbl 1123.34042 J. Differ. Equations 238, No. 2, 338-365 (2007). MSC: 34E20 34E05 34A26 PDF BibTeX XML Cite \textit{P. De Maesschalck}, J. Differ. Equations 238, No. 2, 338--365 (2007; Zbl 1123.34042) Full Text: DOI OpenURL
Malek, S. On the summability of formal solutions of nonlinear partial differential equations with shrinkings. (English) Zbl 1116.35037 J. Dyn. Control Syst. 13, No. 1, 1-13 (2007). Reviewer: Igor Andrianov (Köln) MSC: 35C10 35C20 PDF BibTeX XML Cite \textit{S. Malek}, J. Dyn. Control Syst. 13, No. 1, 1--13 (2007; Zbl 1116.35037) Full Text: DOI OpenURL
Gillam, D. W. H.; Gurarii, V. P. On functions uniquely determined by their asymptotic expansion. (English. Russian original) Zbl 1129.30024 Funct. Anal. Appl. 40, No. 4, 273-284 (2006); translation from Funkts. Anal. Prilozh. 40, No. 4, 33-48 (2006). Reviewer: V. Karunakaran (Madurai) MSC: 30E15 30C15 PDF BibTeX XML Cite \textit{D. W. H. Gillam} and \textit{V. P. Gurarii}, Funct. Anal. Appl. 40, No. 4, 273--284 (2006; Zbl 1129.30024); translation from Funkts. Anal. Prilozh. 40, No. 4, 33--48 (2006) Full Text: DOI arXiv OpenURL
Malek, Stéphane On the summability of formal solutions of linear partial differential equations. (English) Zbl 1085.35043 J. Dyn. Control Syst. 11, No. 3, 389-403 (2005). Reviewer: Igor Andrianov (Köln) MSC: 35C10 35C20 40G10 PDF BibTeX XML Cite \textit{S. Malek}, J. Dyn. Control Syst. 11, No. 3, 389--403 (2005; Zbl 1085.35043) Full Text: DOI OpenURL
Calvo, D.; Popivanov, P. Solvability in Gevrey classes for second powers of Mizohata operator. (English) Zbl 1083.35027 C. R. Acad. Bulg. Sci. 57, No. 6, 11-19 (2004). Reviewer: Angela Slavova (Sofia) MSC: 35B65 35A07 35C20 PDF BibTeX XML Cite \textit{D. Calvo} and \textit{P. Popivanov}, C. R. Acad. Bulg. Sci. 57, No. 6, 11--19 (2004; Zbl 1083.35027) OpenURL
Fruchard, Augustin; Schäfke, Reinhard Classification of resonant equations. (English) Zbl 1066.34058 J. Differ. Equations 207, No. 2, 360-391 (2004). MSC: 34E15 34E05 PDF BibTeX XML Cite \textit{A. Fruchard} and \textit{R. Schäfke}, J. Differ. Equations 207, No. 2, 360--391 (2004; Zbl 1066.34058) Full Text: DOI OpenURL
Ōuchi, Sunao Existence of solutions with asymptotic expansion of linear partial differential equations in the complex domain. (English) Zbl 1058.35057 Publ. Res. Inst. Math. Sci. 40, No. 1, 239-294 (2004). Reviewer: Luigi Rodino (Torino) MSC: 35C10 35A20 35B40 35C20 35A07 PDF BibTeX XML Cite \textit{S. Ōuchi}, Publ. Res. Inst. Math. Sci. 40, No. 1, 239--294 (2004; Zbl 1058.35057) Full Text: DOI OpenURL
Sanz, J. Linear continuous extension operators for Gevrey classes on polysectors. (English) Zbl 1050.32004 Glasg. Math. J. 45, No. 2, 199-216 (2003). Reviewer: K. G. Malyutin (Sumy) MSC: 32A05 30D60 30E05 41A60 PDF BibTeX XML Cite \textit{J. Sanz}, Glasg. Math. J. 45, No. 2, 199--216 (2003; Zbl 1050.32004) Full Text: DOI OpenURL
Bouzouina, A.; Robert, D. Uniform semiclassical estimates for the propagation of quantum observables. (English) Zbl 1069.35061 Duke Math. J. 111, No. 2, 223-252 (2002). MSC: 35Q40 35B40 35C20 35J10 81Q20 PDF BibTeX XML Cite \textit{A. Bouzouina} and \textit{D. Robert}, Duke Math. J. 111, No. 2, 223--252 (2002; Zbl 1069.35061) Full Text: DOI OpenURL
Wong, R.; Zhao, Yu-Qiu Gevrey asymptotics and Stieltjes transforms of algebraically decaying functions. (English) Zbl 1004.44003 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2019, 625-644 (2002). Reviewer: Juri M. Rappoport (Moskva) MSC: 44A20 PDF BibTeX XML Cite \textit{R. Wong} and \textit{Y.-Q. Zhao}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 458, No. 2019, 625--644 (2002; Zbl 1004.44003) Full Text: DOI OpenURL
Benoît, Éric Perturbation singulière en dimension trois : Canards en un point pseudo-singulier nœud. (Singular perturbation, tridimensional case: canards on a pseudo-singular node point). (French) Zbl 0992.34072 Bull. Soc. Math. Fr. 129, No. 1, 91-113 (2001). MSC: 34M60 34E15 34M30 34E05 34C20 34E20 PDF BibTeX XML Cite \textit{É. Benoît}, Bull. Soc. Math. Fr. 129, No. 1, 91--113 (2001; Zbl 0992.34072) Full Text: DOI Link OpenURL
Ōuchi, Sunao Asymptotic expansion of singular solutions and the characteristic polygon of linear partial differential equations in the complex domain. (English) Zbl 0984.35005 Publ. Res. Inst. Math. Sci. 36, No. 4, 457-482 (2000). MSC: 35A20 35C20 35B40 PDF BibTeX XML Cite \textit{S. Ōuchi}, Publ. Res. Inst. Math. Sci. 36, No. 4, 457--482 (2000; Zbl 0984.35005) Full Text: DOI OpenURL
Schäfke, Reinhard Gevrey asymptotics in singular perturbations of ODE. (English) Zbl 0970.34053 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 118-123 (2000). MSC: 34E05 34E20 34E15 PDF BibTeX XML Cite \textit{R. Schäfke}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 118--123 (2000; Zbl 0970.34053) OpenURL
Sibuya, Yasutaka The Gevrey asymptotics in the case of singular perturbations. (English) Zbl 0968.34040 J. Differ. Equations 165, No. 2, 255-314 (2000). Reviewer: Jiaqi Mo (Wuhu) MSC: 34E15 34K25 34E05 PDF BibTeX XML Cite \textit{Y. Sibuya}, J. Differ. Equations 165, No. 2, 255--314 (2000; Zbl 0968.34040) Full Text: DOI OpenURL
Gramchev, Todor V.; Popivanov, Petar R. Partial differential equations. Approximate solutions in scales of functional spaces. (English) Zbl 0964.35003 Mathematical Research. 108. Berlin: Wiley-VCH. 155 p. (2000). Reviewer: M.Reissig (Freiberg) MSC: 35-02 35H20 35A27 35C20 35S30 PDF BibTeX XML Cite \textit{T. V. Gramchev} and \textit{P. R. Popivanov}, Partial differential equations. Approximate solutions in scales of functional spaces. Berlin: Wiley-VCH (2000; Zbl 0964.35003) OpenURL
Stenger, Catherine Turning points of systems of singularly perturbed ordinary differential equations. (Points tournants de systèmes d’équations différentielles ordinaires singulièrement perturbées.) (French) Zbl 0948.34031 Prépublication de l’Institut de Recherche Mathématique Avancée. 19. Strasbourg: Université Strasbourg, Institut de Recherche Mathématique Avancée, 110 p. (1999). Reviewer: P.Habets (Louvain-La-Neuve) MSC: 34E15 34-02 34E05 34E20 34E10 34M05 PDF BibTeX XML Cite \textit{C. Stenger}, Points tournants de systèmes d'équations différentielles ordinaires singulièrement perturbées. Strasbourg: Université Strasbourg, Institut de Recherche Mathématique Avancée (1999; Zbl 0948.34031) OpenURL
Melenk, Jens Markus; Schwab, Christoph Analytic regularity for a singularly perturbed problem. (English) Zbl 1023.35009 SIAM J. Math. Anal. 30, No. 2, 379-400 (1999). MSC: 35B25 35J25 65N30 PDF BibTeX XML Cite \textit{J. M. Melenk} and \textit{C. Schwab}, SIAM J. Math. Anal. 30, No. 2, 379--400 (1999; Zbl 1023.35009) Full Text: DOI OpenURL
Ōuchi, Sunao Singular solutions with asymptotic expansion of linear partial differential equations in the complex domain. (English) Zbl 0952.35004 Publ. Res. Inst. Math. Sci. 34, No. 4, 291-311 (1998). MSC: 35A20 35B05 35C20 PDF BibTeX XML Cite \textit{S. Ōuchi}, Publ. Res. Inst. Math. Sci. 34, No. 4, 291--311 (1998; Zbl 0952.35004) Full Text: DOI OpenURL
Zhang, Changgui On the summability of formal power series solutions of \(q\)-difference equations. I. (Sur la sommabilité des séries entières solutions formelles d’une équation aux \(q\)-différences. I.) (French) Zbl 0913.39002 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 4, 349-352 (1998). MSC: 39A10 30B10 40A30 PDF BibTeX XML Cite \textit{C. Zhang}, C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 4, 349--352 (1998; Zbl 0913.39002) Full Text: DOI OpenURL
Benoît, Eric; Fruchard, Augustin; Schäfke, Reinhard; Wallet, Guy Overstability: Towards a global study. (English. Abridged French version) Zbl 0922.34048 C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 7, 873-878 (1998). Reviewer: Adriana Bohe (Les Vlis) MSC: 34E15 34M60 34D05 34E20 34E05 PDF BibTeX XML Cite \textit{E. Benoît} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 7, 873--878 (1998; Zbl 0922.34048) Full Text: DOI OpenURL
Loday-Richaud, Michèle; Pourcin, Geneviève On index theorems for linear ordinary differential operators. (English) Zbl 0901.34012 Ann. Inst. Fourier 47, No. 5, 1379-1424 (1997). Reviewer: N.V.Grigorenko (Kyïv) MSC: 34A30 55N30 34M99 34E05 PDF BibTeX XML Cite \textit{M. Loday-Richaud} and \textit{G. Pourcin}, Ann. Inst. Fourier 47, No. 5, 1379--1424 (1997; Zbl 0901.34012) Full Text: DOI Numdam EuDML OpenURL
Zurro, M. A. A new Taylor type formula and \(C^ \infty\) extensions for asymptotically developable functions. (English) Zbl 0887.58002 Stud. Math. 123, No. 2, 151-163 (1997). Reviewer: A.P.Stone (Albuquerque) MSC: 58A20 34E05 PDF BibTeX XML Cite \textit{M. A. Zurro}, Stud. Math. 123, No. 2, 151--163 (1997; Zbl 0887.58002) Full Text: DOI EuDML OpenURL
Jung, Klaus Adiabatic invariance and the regularity of perturbations. (English) Zbl 0838.34056 Nonlinearity 8, No. 6, 891-900 (1995). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 37-XX 34E10 34E05 PDF BibTeX XML Cite \textit{K. Jung}, Nonlinearity 8, No. 6, 891--900 (1995; Zbl 0838.34056) Full Text: DOI Link OpenURL
Zurro, María-Angeles Summability “au plus petit terme”. (English) Zbl 0818.40001 Stud. Math. 113, No. 2, 197-198 (1995). MSC: 40A25 40A05 PDF BibTeX XML Cite \textit{M.-A. Zurro}, Stud. Math. 113, No. 2, 197--198 (1995; Zbl 0818.40001) Full Text: DOI EuDML OpenURL
Ōuchi, Sunao Formal solutions with Gevrey type estimates of nonlinear partial differential equations. (English) Zbl 0810.35006 J. Math. Sci., Tokyo 1, No. 1, 205-237 (1994). MSC: 35C10 35C20 35G20 PDF BibTeX XML Cite \textit{S. Ōuchi}, J. Math. Sci., Tokyo 1, No. 1, 205--237 (1994; Zbl 0810.35006) OpenURL
Ramis, Jean-Pierre Divergent series and asymptotic theories. Supplement of Bulletin de la Société Mathématique de France 121. (Séries divergentes et théories asymptotiques.) (French) Zbl 0830.34045 Panoramas et Synthèses 0. Paris: Société Mathématique de France. 74 p. (1993). Reviewer: P.Habets (Louvain-La-Neuve) MSC: 34E05 40A30 34-02 40-02 PDF BibTeX XML Cite \textit{J.-P. Ramis}, Séries divergentes et théories asymptotiques. Supplement of Bulletin de la Société Mathématique de France 121. Paris: Société Mathématique de France (1993; Zbl 0830.34045) OpenURL
Canalis-Durand, Mireille Formal Gevrey solutions of a singularly perturbed equation: The multidimensional case. (Solutions formelle Gevrey d’une équation singulièrement perturbée: Le cas multidimensionnel.) (French) Zbl 0780.34040 Ann. Inst. Fourier 43, No. 2, 469-483 (1993). Reviewer: M.Canalis-Durand (Marseille) MSC: 34E15 34E05 34A25 PDF BibTeX XML Cite \textit{M. Canalis-Durand}, Ann. Inst. Fourier 43, No. 2, 469--483 (1993; Zbl 0780.34040) Full Text: DOI Numdam EuDML OpenURL
Cano, José An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms. (English) Zbl 0766.34006 Ann. Inst. Fourier 43, No. 1, 125-142 (1993). Reviewer: J.Cano (Valladolid) MSC: 34M99 58A17 34E05 PDF BibTeX XML Cite \textit{J. Cano}, Ann. Inst. Fourier 43, No. 1, 125--142 (1993; Zbl 0766.34006) Full Text: DOI Numdam EuDML OpenURL
Thomann, Jean Resummation of formal power series and orthogonal polynomials. (English) Zbl 0831.65076 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 397-400 (1991). MSC: 65L05 68W30 34A25 PDF BibTeX XML Cite \textit{J. Thomann}, in: Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer. 397--400 (1991; Zbl 0831.65076) OpenURL
Sibuya, Yasutaka Gevrey asymptotics and Stokes multipliers. (English) Zbl 0731.34002 Differential equations and computer algebra, Proc. Workshop, Ithaca/NY (USA) 1990, 131-147 (1991). Reviewer: J.Chrastina (Brno) MSC: 34M99 34E05 PDF BibTeX XML OpenURL
Tamanyan, G. Yu. Estimation of the remainders of asymptotic expansions of solutions of higher-order equations. (English. Russian original) Zbl 0717.34058 Sov. Math. 34, No. 7, 76-79 (1990); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 7(338), 65-68 (1990). MSC: 34E05 34A30 PDF BibTeX XML Cite \textit{G. Yu. Tamanyan}, Sov. Math. 34, No. 7, 76--79 (1990; Zbl 0717.34058); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 7(338), 65--68 (1990) OpenURL
Sibuya, Yasutaka Gevrey property of formal solutions in a parameter. (English) Zbl 0715.34106 Asymptotic and computational analysis. Conference in honor of Frank W.J. Olver’s 65th birthday, Proc. Int. Symp., Winnipeg/Can. 1989, Lect. Notes Pure Appl. Math. 124, 393-401 (1990). Reviewer: Yu.V.Rogovchenko MSC: 34E05 PDF BibTeX XML OpenURL
Tahara, Hidetoshi Singular hyperbolic systems. VII: Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes (2). (English) Zbl 0702.35148 Jap. J. Math., New Ser. 15, No. 2, 275-307 (1989). Reviewer: Hidetoshi Tahara MSC: 35L30 35L10 35C20 PDF BibTeX XML Cite \textit{H. Tahara}, Jpn. J. Math., New Ser. 15, No. 2, 275--307 (1989; Zbl 0702.35148) OpenURL
Ramis, Jean-Pierre; Sibuya, Yasutaka Hukuhara domains and fundamental existence and uniqueness theorems for asymptotic solutions of Gevrey type. (English) Zbl 0699.34058 Asymptotic Anal. 2, No. 1, 39-94 (1989). Reviewer: W.Răsvan MSC: 34E05 34A25 30E15 34M99 PDF BibTeX XML Cite \textit{J.-P. Ramis} and \textit{Y. Sibuya}, Asymptotic Anal. 2, No. 1, 39--94 (1989; Zbl 0699.34058) OpenURL
Haraoka, Yoshishige Theorems of Sibuya-Malgrange type for Gevrey functions of several variables. (English) Zbl 0689.32001 Funkc. Ekvacioj, Ser. Int. 32, No. 3, 365-388 (1989). Reviewer: A.Yu.Rashkovsky MSC: 32A05 32A38 41A60 PDF BibTeX XML Cite \textit{Y. Haraoka}, Funkc. Ekvacioj, Ser. Int. 32, No. 3, 365--388 (1989; Zbl 0689.32001) OpenURL
Tahara, Hidetoshi Singular hyperbolic systems. VI: Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes. (English) Zbl 0621.35061 J. Math. Soc. Japan 39, 551-580 (1987). MSC: 35L30 35C20 PDF BibTeX XML Cite \textit{H. Tahara}, J. Math. Soc. Japan 39, 551--580 (1987; Zbl 0621.35061) Full Text: DOI OpenURL
Ermine, Jean-Louis Développements asymptotiques et microfonctions dans les classes de Gevrey. (Asymptotic developments and microfunctions in Gevrey classes). (French) Zbl 0593.46033 Publ. Res. Inst. Math. Sci. 21, 737-759 (1985). MSC: 46F05 35D10 46F99 PDF BibTeX XML Cite \textit{J.-L. Ermine}, Publ. Res. Inst. Math. Sci. 21, 737--759 (1985; Zbl 0593.46033) Full Text: DOI OpenURL
Ramis, Jean-Pierre \(k\)-summable series and its applications. (Les séries \(k\)-sommables et leurs applications.) (French) Zbl 1251.32008 Iagolnitzer, D. (ed.), Complex analysis, microlocal calculus and relativistic quantum theory. Proceedings of the colloquium held at Les Houches, Centre de Physique, September 1979. (ISBN 3-540-09996-4). 178-199 (1980). Reviewer: Valentina Golubeva (Moskva) (MR0579749 (82k:32033)) MSC: 32C36 14D05 PDF BibTeX XML Cite \textit{J.-P. Ramis}, in: Complex analysis, microlocal calculus and relativistic quantum theory. Proceedings of the colloquium held at Les Houches, Centre de Physique, September 1979. . 178--199 (1980; Zbl 1251.32008) OpenURL