Nikolaev, Nikita Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2. arXiv:1909.04011 Preprint, arXiv:1909.04011 [math.CA] (2019). MSC: 34M60 34E10 34E20 40G10 BibTeX Cite \textit{N. Nikolaev}, ``Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2'', Preprint, arXiv:1909.04011 [math.CA] (2019) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{A. Lastra} et al., Result. Math. 70, No. 3--4, 581--614 (2016; Zbl 1353.35033) Full Text: DOI arXiv Link
Takei, Yoshitsugu On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations. (English) Zbl 1325.34105 Opusc. Math. 35, No. 5, 775-802 (2015). MSC: 34M60 34E20 34M30 40G10 PDFBibTeX XMLCite \textit{Y. Takei}, Opusc. Math. 35, No. 5, 775--802 (2015; Zbl 1325.34105) Full Text: DOI
Razafindralandy, Dina; Hamdouni, Aziz Time integration algorithm based on divergent series resummation, for ordinary and partial differential equations. (English) Zbl 1286.76123 J. Comput. Phys. 236, 56-73 (2013). MSC: 76M45 40G10 PDFBibTeX XMLCite \textit{D. Razafindralandy} and \textit{A. Hamdouni}, J. Comput. Phys. 236, 56--73 (2013; Zbl 1286.76123) Full Text: DOI HAL
Malek, Stéphane On the parametric Stokes phenomenon for solutions of singularly perturbed linear partial differential equations. (English) Zbl 1257.35027 Abstr. Appl. Anal. 2012, Article ID 930385, 86 p. (2012). MSC: 35B25 40G10 34M60 PDFBibTeX XMLCite \textit{S. Malek}, Abstr. Appl. Anal. 2012, Article ID 930385, 86 p. (2012; Zbl 1257.35027) Full Text: DOI
Bender, Carl M.; Orszag, Steven A. Advanced mathematical methods for scientists and engineers I. Asymptotic methods and perturbation theory. Reprint of the original 1978. (English) Zbl 0938.34001 New York, NY: Springer. 593 p. DM 139.00; öS 1015.00; sFr. 126.50; £48.00; $ 69.95 (1999). Reviewer: A.G.Ramm (Manhattan) MSC: 34-01 34E05 34A45 41A60 34E20 40E05 PDFBibTeX XMLCite \textit{C. M. Bender} and \textit{S. A. Orszag}, Advanced mathematical methods for scientists and engineers I. Asymptotic methods and perturbation theory. Reprint of the original 1978. New York, NY: Springer (1999; Zbl 0938.34001)
Ecalle, Jean; Vallet, Bruno Passive and active resonance. Nonlinear resurgence and isoresurgent deformations. (English) Zbl 0857.34010 Braaksma, B. L. J. (ed.) et al., The Stokes phenomenon and Hilbert’s 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific. 103-138 (1996). MSC: 34M05 34M37 32S65 34C20 34E20 40H05 53B99 37-XX PDFBibTeX XMLCite \textit{J. Ecalle} and \textit{B. Vallet}, in: The Stokes phenomenon and Hilbert's 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific. 103--138 (1996; Zbl 0857.34010)
Fruchard, Augustin Sur l’équation aux différences affine du premier ordre unidimensionnelle. (On the first order linear non-homogeneous difference equation in one dimension.). (French) Zbl 0842.34042 Ann. Inst. Fourier 46, No. 1, 139-181 (1996). MSC: 34C23 03H05 40A05 37G99 39A10 PDFBibTeX XMLCite \textit{A. Fruchard}, Ann. Inst. Fourier 46, No. 1, 139--181 (1996; Zbl 0842.34042) Full Text: DOI Numdam EuDML
Millane, R. P. An infinite sum related to WKB eigenvalues. (English) Zbl 0843.34056 J. Math. Phys. 36, No. 6, 3157-3160 (1995). MSC: 34E20 40A25 34L15 PDFBibTeX XMLCite \textit{R. P. Millane}, J. Math. Phys. 36, No. 6, 3157--3160 (1995; Zbl 0843.34056) Full Text: DOI
Boasman, P. A.; Keating, Jonathan P. Semiclassical asymptotics of perturbed cat maps. (English) Zbl 0842.58062 Proc. R. Soc. Lond., Ser. A 449, No. 1937, 629-653 (1995). MSC: 81Q20 81Q50 37D99 34E20 40G10 PDFBibTeX XMLCite \textit{P. A. Boasman} and \textit{J. P. Keating}, Proc. R. Soc. Lond., Ser. A 449, No. 1937, 629--653 (1995; Zbl 0842.58062) Full Text: DOI
Sauzin, David Résurgence paramétrique et exponentielle petitesse de l’écart des séparatrices du pendule rapidement forcé. (Parametric resurgence and exponential smallness of the splitting of the separatrices of the rapidly forced pendulum.). (French) Zbl 0826.30004 Ann. Inst. Fourier 45, No. 2, 453-511 (1995). MSC: 30B99 34C37 34E15 40C99 37J99 PDFBibTeX XMLCite \textit{D. Sauzin}, Ann. Inst. Fourier 45, No. 2, 453--511 (1995; Zbl 0826.30004) Full Text: DOI Numdam EuDML
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 PDFBibTeX XMLCite \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)
Hakim, Vincent; Mallick, Kirone Exponentially small splitting of separatrices, matching in the complex plane and Borel summation. (English) Zbl 0769.34036 Nonlinearity 6, No. 1, 57-70 (1993). Reviewer: M.Švec (Bratislava) MSC: 37-XX 34E15 40G10 PDFBibTeX XMLCite \textit{V. Hakim} and \textit{K. Mallick}, Nonlinearity 6, No. 1, 57--70 (1993; Zbl 0769.34036) Full Text: DOI
Canalis-Durand, Mireille Caractère Gevrey du développement formel des solutions canard de l’équation de Van der Pol. (Gevrey character of formal expansion of Van der Pol’s equation canard solutions). (French) Zbl 0749.34031 C. R. Acad. Sci., Paris, Sér. I 311, No. 1, 27-30 (1990). MSC: 34E15 40G05 03H05 26E35 PDFBibTeX XMLCite \textit{M. Canalis-Durand}, C. R. Acad. Sci., Paris, Sér. I 311, No. 1, 27--30 (1990; Zbl 0749.34031)
Znojil, M. On the power-series construction of bound states. I: The energies as zeros of the infinite Hill determinants. (English) Zbl 0666.34066 J. Math. Phys. 29, No. 6, 1433-1439 (1988). Reviewer: J.H.Tian MSC: 34E20 40C15 PDFBibTeX XMLCite \textit{M. Znojil}, J. Math. Phys. 29, No. 6, 1433--1439 (1988; Zbl 0666.34066) Full Text: DOI
Sidi, Avram Borel summability and converging factors for some everywhere divergent series. (English) Zbl 0639.40001 SIAM J. Math. Anal. 17, 1222-1231 (1986). Reviewer: V.Maric MSC: 40A05 40D15 34E15 40G10 65B05 34E05 PDFBibTeX XMLCite \textit{A. Sidi}, SIAM J. Math. Anal. 17, 1222--1231 (1986; Zbl 0639.40001) Full Text: DOI Link
Eckmann, Jean-Pierre; Wittwer, Peter Computer methods and Borel summability applied to Feigenbaum’s equation. (English) Zbl 0598.58040 Lecture Notes in Physics, 227. Berlin etc.: Springer-Verlag. xiv, 297 p. DM 36.50 (1985). Reviewer: Helmut Weber (Wiesbaden) MSC: 37-02 37-04 40-04 37E20 40G10 30E99 PDFBibTeX XML
Auberson, G. Borel summability for a nonpolynomial potential. (English) Zbl 0508.34042 Commun. Math. Phys. 84, 531-546 (1982). MSC: 34E10 40G10 41A60 34E05 PDFBibTeX XMLCite \textit{G. Auberson}, Commun. Math. Phys. 84, 531--546 (1982; Zbl 0508.34042) Full Text: DOI
Bender, Carl M.; Orszag, Steven A. Advanced mathematical methods for scientists and engineers. (English) Zbl 0417.34001 International Series in Pure and Applied Mathematics. New York etc.: McGraw-Hill Book Company XIV, 593 p. DM 74.10 (1978). MSC: 34-01 34A45 34E05 41A60 34E20 40E05 PDFBibTeX XML