Oshima, Toshio Riemann-Liouville transform and linear differential equations on the Riemann sphere. (English) Zbl 1517.34118 Filipuk, Galina (ed.) et al., Recent trends in formal and analytic solutions of diff. equations. Virtual conference, University of Alcalá, Alcalá de Henares, Spain, June 28 – July 2, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 782, 57-91 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M40 34M30 34M35 34M03 × Cite Format Result Cite Review PDF Full Text: DOI
Guzzetti, Davide Isomonodromic deformations along a stratum of the coalescence locus. (English) Zbl 1520.34087 J. Phys. A, Math. Theor. 55, No. 45, Article ID 455202, 52 p. (2022). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M56 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kajino, Naotaka On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates. II: Some borderline examples. (English) Zbl 1497.60111 Chen, Zhen-Qing (ed.) et al., Dirichlet forms and related topics, in honor of Masatoshi Fukushima’s beiju, IWDFRT 2022, Osaka, Japan, August 22–26,2022. Singapore: Springer. Springer Proc. Math. Stat. 394, 223-251 (2022). MSC: 60J60 31C25 60J65 60J35 28A80 31E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stoyanova, Tsvetana Stokes matrices of a reducible double confluent Heun equation via monodromy matrices of a reducible general Heun equation with symmetric finite singularities. (English) Zbl 1491.34098 J. Dyn. Control Syst. 28, No. 1, 207-245 (2022); correction ibid. 28, No. 1, 247-248 (2022). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 34M40 34M03 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Oshima, Toshio Versal unfolding of irregular singularities of a linear differential equation on the Riemann sphere. (English) Zbl 1498.34237 Publ. Res. Inst. Math. Sci. 57, No. 3-4, 893-920 (2021). Reviewer: Renat Gontsov (Moskva) MSC: 34M35 34C20 34M25 × Cite Format Result Cite Review PDF Full Text: DOI
Sabbah, Claude Integrable deformations and degenerations of some irregular singularities. (English) Zbl 1487.34168 Publ. Res. Inst. Math. Sci. 57, No. 3-4, 755-794 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 34M56 32C38 34M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klimeš, Martin On equivalence of singularities of second order linear differential equations by point transformations. (English. French summary) Zbl 1486.34170 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 3, 527-560 (2021). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M30 34M03 34M40 × Cite Format Result Cite Review PDF Full Text: DOI
Guzzetti, Davide Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities. (English) Zbl 1490.34114 Lett. Math. Phys. 111, No. 3, Paper No. 80, 70 p. (2021). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M56 34M35 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hiroe, Kazuki Index of rigidity of differential equations and Euler characteristic of their spectral curves. (English) Zbl 1458.14049 J. Geom. Phys. 162, Article ID 104060, 16 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 14H20 34M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuwagaki, Tatsuki Irregular perverse sheaves. (English) Zbl 1464.14023 Compos. Math. 157, No. 3, 573-624 (2021). Reviewer: Teresa Monteiro Fernandes (Lisboa) MSC: 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Agnolo, Andrea; Hien, Marco; Morando, Giovanni; Sabbah, Claude Topological computation of some Stokes phenomena on the affine line. (Calcul topologique de certains phénomènes de Stokes sur la droite affine.) (English. French summary) Zbl 1505.14019 Ann. Inst. Fourier 70, No. 2, 739-808 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 34M40 44A10 32C38 14F43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ito, Yohei; Takeuchi, Kiyoshi On some topological properties of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules. (English) Zbl 1439.32025 Can. Math. Bull. 63, No. 2, 454-468 (2020). MSC: 32C38 32S60 35A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vasil’ev, E. I. Investigation of the flow singularity at the triple point of stationary irregular Mach reflection of a shock wave in a plane channel. (English. Russian original) Zbl 1434.76061 Fluid Dyn. 54, No. 5, 714-723 (2019); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2019, No. 5, 125-134 (2019). MSC: 76L05 76M12 × Cite Format Result Cite Review PDF Full Text: DOI
Barkatou, Moulay A.; Gontsov, Renat R. Linear differential systems with small coefficients: various types of solvability and their verification. (English) Zbl 1431.34093 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 058, 15 p. (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M03 34M25 34M35 34M50 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Glutsyuk, A. A. On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation. (English) Zbl 1431.34060 J. Dyn. Control Syst. 25, No. 3, 323-349 (2019). MSC: 34C40 34M35 34M40 37E45 37C60 82D55 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stoyanova, Tsvetana Zero level perturbation of a certain third-order linear solvable ODE with an irregular singularity at the origin of Poincaré rank 1. (English) Zbl 1418.34163 J. Dyn. Control Syst. 24, No. 4, 511-539 (2018). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M40 34M35 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barkatou, Moulay A.; Cluzeau, Thomas; El Bacha, Carole On the computation of simple forms and regular solutions of linear difference systems. (English) Zbl 1443.39003 Schneider, Carsten (ed.) et al., Advances in computer algebra. In honour of Sergei Abramov’s 70th birthday, WWCA 2016, Waterloo, Ontario, Canada, July 23–24, 2016. Selected papers based on the presentations at the workshop. Cham: Springer. Springer Proc. Math. Stat. 226, 19-49 (2018). Reviewer: Petr Zemánek (Brno) MSC: 39A06 33B15 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Bittmann, Amaury Doubly-resonant saddle-nodes in \((\mathbb C^3, 0)\) and the fixed singularity at infinity in Painlevé equations: analytic classification. (Noeud-cols doublement résonants dans \((\mathbb C^3, 0)\) et la singularité fixe à l’infini dans les équations de Painlevé: classification analytique.) (English. French summary) Zbl 1406.34106 Ann. Inst. Fourier 68, No. 4, 1715-1830 (2018). MSC: 34M35 34M30 34M40 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klimeš, Martin Stokes phenomenon and confluence in non-autonomous Hamiltonian systems. (English) Zbl 1406.34107 Qual. Theory Dyn. Syst. 17, No. 3, 665-708 (2018). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M35 34M40 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bittmann, Amaury Doubly-resonant saddle-nodes in \(\mathbb {C}^{3}\) and the fixed singularity at infinity in the Painlevé equations: formal classification. (English) Zbl 1395.37043 Qual. Theory Dyn. Syst. 16, No. 3, 491-529 (2017). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 37J40 37J10 33E17 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hurtubise, Jacques; Rousseau, Christiane Moduli space for generic unfolded differential linear systems. (English) Zbl 1361.34099 Adv. Math. 307, 1268-1323 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M03 34M40 34M35 32S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gagnon, Jean-François; Rousseau, Christiane Intrinsic character of Stokes matrices. (English) Zbl 1387.34123 J. Differ. Equations 262, No. 3, 2608-2617 (2017). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vasil’ev, E. I. The nature of the triple point singularity in the case of stationary reflection of weak shock waves. (English. Russian original) Zbl 1357.76035 Fluid Dyn. 51, No. 6, 804-813 (2016); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2016, No. 6, 91-100 (2016). MSC: 76L05 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Haifeng; Chen, Jinru; Li, Zhilin Augmented immersed finite element methods for some elliptic partial differential equations. (English) Zbl 1341.65046 Int. J. Comput. Math. 93, No. 3, 540-558 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N15 35J60 35J05 35R05 × Cite Format Result Cite Review PDF Full Text: DOI
Klimeš, Martin Confluence of singularities of nonlinear differential equations via Borel-Laplace transformations. (English) Zbl 1339.34095 J. Dyn. Control Syst. 22, No. 2, 285-324 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M40 34M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Rong; Gao, Yun On the Griffiths numbers for higher dimensional singularities. (Sur les nombres de Griffiths pour les singularités de dimension supérieure.) (English. French summary) Zbl 1331.32016 Ann. Inst. Fourier 65, No. 1, 389-395 (2015). Reviewer: Augusto Nobile (Baton Rouge) MSC: 32S05 14B05 32C20 32S10 32S99 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Glutsyuk, A. A.; Kleptsyn, V. A.; Filimonov, D. A.; Schurov, I. V. On the adjacency quantization in an equation modeling the Josephson effect. (English. Russian original) Zbl 1370.37143 Funct. Anal. Appl. 48, No. 4, 272-285 (2014); translation from Funkts. Anal. Prilozh. 48, No. 4, 47-64 (2014). MSC: 37N15 34A34 34M40 82D55 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adamowicz, Tomasz; Björn, Anders; Björn, Jana Regularity of \(p(\cdot)\)-superharmonic functions, the Kellogg property and semiregular boundary points. (English) Zbl 1304.35296 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 6, 1131-1153 (2014). MSC: 35J67 31C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ando, Kana An example of the reduction of a single ordinary differential equation to a system, and the restricted Fuchsian relation. (English) Zbl 1307.34133 Koike, Satoshi (ed.) et al., Topics on real and complex singularities. Proceedings of the 4th Japanese-Australian workshop (JARCS 4), Kobe, Japan, November 22–25, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4596-03-9/hbk; 978-981-4596-05-3/ebook). 13-29 (2014). MSC: 34M25 34M35 × Cite Format Result Cite Review PDF Full Text: DOI
Hurtubise, Jacques; Lambert, Caroline; Rousseau, Christiane Complete system of analytic invariants for unfolded differential linear systems with an rank \(k\) irregular singularity of Poincaré. (English) Zbl 1302.34131 Mosc. Math. J. 14, No. 2, 309-338 (2014). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M40 34M03 37G10 34E10 37G05 × Cite Format Result Cite Review PDF Full Text: Link
Lambert, Caroline; Rousseau, Christiane Moduli space of unfolded differential linear systems with an irregular singularity of Poincaré rank 1. (English) Zbl 1292.34085 Mosc. Math. J. 13, No. 3, 529-550 (2013). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 34M40 34M50 34M03 × Cite Format Result Cite Review PDF Full Text: Link
Inaba, Michi-Aki; Saito, Masa-Hiko Moduli of unramified irregular singular parabolic connections on a smooth projective curve. (English) Zbl 1267.14015 Kyoto J. Math. 53, No. 2, 433-482 (2013). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D20 34M56 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bibilo, Yuliya P.; Gontsov, Renat R. On the malgrange isomonodromic deformations of nonresonant irregular systems. (English) Zbl 1290.34101 Bruno, Alexander D. (ed.) et al., Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). De Gruyter Proceedings in Mathematics, 95-99 (2012). MSC: 34M56 34M40 34M35 × Cite Format Result Cite Review PDF Full Text: arXiv
Lambert, Caroline; Rousseau, Christiane Complete system of analytic invariants for unfolded differential linear systems with an irregular singularity of Poincaré rank 1. (English) Zbl 1263.34127 Mosc. Math. J. 12, No. 1, 77-138 (2012). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M40 34M50 34M03 37G10 34E10 37G05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Takemura, Kouichi Euler’s integral transformation for systems of linear differential equations with irregular singularities. (English) Zbl 1281.34131 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, 141-152 (2012). Reviewer: Galina Filipuk (Warszawa) MSC: 34M03 34M35 34M25 × Cite Format Result Cite Review PDF Full Text: DOI
Szabó, Szilárd Nahm transform and parabolic minimal Laplace transform. (English) Zbl 1266.53029 J. Geom. Phys. 62, No. 11, 2241-2258 (2012). MSC: 53C07 81T13 53C80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Lei Integrable connections and Galois representations. (English) Zbl 1260.14025 Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 1. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7586-5/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.1, 127-137 (2012). Reviewer: Manish Kumar (Bangalore) MSC: 14G32 × Cite Format Result Cite Review PDF
Takemura, Kouichi Introduction to middle convolution for differential equations with irregular singularities. (English) Zbl 1220.34110 Feigin, Boris (ed.) et al., New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27–31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook). 393-420 (2011). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M35 34M03 × Cite Format Result Cite Review PDF Full Text: arXiv
Rutkauskas, Stasys; Saburov, Igor On the weighted boundary value problem for systems of degenerate ordinary differential equations. (English) Zbl 1347.34030 Liet. Mat. Rink., Liet. Mat. Draugijos Darb. 51, 57-62 (2010). Reviewer: Klaus R. Schneider (Berlin) MSC: 34B05 34B15 × Cite Format Result Cite Review PDF
Koike, Tatsuya; Sasaki, Takeshi; Yoshida, Masaaki Asymptotic behavior of the hyperbolic Schwarz map at irregular singular points. (English) Zbl 1190.33004 Funkc. Ekvacioj, Ser. Int. 53, No. 1, 99-132 (2010). MSC: 33C05 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Feigin, B.; Frenkel, E.; Toledano Laredo, V. Gaudin models with irregular singularities. (English) Zbl 1186.81065 Adv. Math. 223, No. 3, 873-948 (2010). Reviewer: Chen Yong-Qing (Shenzhen) MSC: 81R10 37K30 17B67 81R12 82B23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gontsov, R. R.; Vyugin, I. V. Some addition to the generalized Riemann-Hilbert problem. (English) Zbl 1200.34110 Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 3, 527-542 (2009). Reviewer: Andrei A. Kapaev (Trieste) MSC: 34M50 34M25 34M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Rutkauskas, S. On certain modified boundary value problems for ordinary differential equations with irregular singularity. (English) Zbl 1185.34020 Lith. Math. J. 49, No. 1, 109-121 (2009). MSC: 34B05 34B16 34B27 × Cite Format Result Cite Review PDF Full Text: DOI
Kochubei, Anatoly N. Fractional differential equations: \(\alpha\)-entire solutions, regular and irregular singularities. (English) Zbl 1178.26007 Fract. Calc. Appl. Anal. 12, No. 2, 135-158 (2009). Reviewer: Stefan G. Samko (Faro) MSC: 26A33 34M99 × Cite Format Result Cite Review PDF Full Text: arXiv
Sabbah, Claude An explicit stationary phase formula for the local formal Fourier-Laplace transform. (English) Zbl 1162.32018 Brasselet, Jean-Paul (ed.) et al., Singularities I. Algebraic and analytic aspects. Proceedings of the international conference “School and workshop on the geometry and topology of singularities” in honor of the 60th birthday of Lê Dũng Tráng, Cuernavaca, Mexico, January 8–26, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4458-8/pbk). Contemporary Mathematics 474, 309-330 (2008). Reviewer: Jan Stevens (Göteborg) MSC: 32S40 14F10 32C38 × Cite Format Result Cite Review PDF Full Text: arXiv
Huang, Xueying; Cai, Mingjian; Luo, Zhuangchu Formal solutions of totally characteristic type PDE with irregular singularity. I. (Chinese. English summary) Zbl 1164.35306 J. Math., Wuhan Univ. 28, No. 1, 109-112 (2008). MSC: 35A20 35F20 35C10 × Cite Format Result Cite Review PDF
Yoshino, M. Analytic non-integrable Hamiltonian systems and irregular singularity. (English) Zbl 1150.37009 Ann. Mat. Pura Appl. (4) 187, No. 4, 555-562 (2008). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 35C10 37F50 × Cite Format Result Cite Review PDF Full Text: DOI
Shimomura, Shun Asymptotic solutions of a degenerate Garnier system of the first Painlevé type. (English) Zbl 1123.34072 RIMS Kôkyûroku Bessatsu B2, 227-237 (2007). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 33E17 37J40 × Cite Format Result Cite Review PDF
Lifanov, I. K.; Mel’nikov, Yu. A.; Nenashev, A. S. The Green function for domains of irregular shape and singular integral equations. (English. Russian original) Zbl 1134.65089 Dokl. Math. 74, No. 2, 678-682 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 3, 313-317 (2006). MSC: 65R20 45E10 35J05 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Rezaoui, Med-Salem Convergence of formal solutions of some nonlinear differential systems at an irregular singularity. (English) Zbl 1111.35007 Asymptotic Anal. 46, No. 2, 93-122 (2006). Reviewer: Igor Andrianov (Köln) MSC: 35C10 × Cite Format Result Cite Review PDF
Ando, K.; Kohno, M. A certain reduction of a single differential equation to a system of differential equation. (English) Zbl 1126.34007 Kumamoto J. Math. 19, 99-114 (2006). Reviewer: Svatoslav Staněk (Olomouc) MSC: 34A30 × Cite Format Result Cite Review PDF
Talipova, M. Zh. On the existence of normal solutions of nonhomogeneous systems of second-order partial differential equations. (Russian) Zbl 1133.35332 Mat. Zh. 5, No. 3, 82-86 (2005). MSC: 35G05 35A20 35C05 × Cite Format Result Cite Review PDF
Glutsyuk, Alexey On the monodromy group of confluent linear equations. (English) Zbl 1099.34077 Mosc. Math. J. 5, No. 1, 67-90 (2005). Reviewer: Robert Kuik (Roden) MSC: 34M35 34M40 × Cite Format Result Cite Review PDF Full Text: arXiv
Glutsyuk, A. A. Resonant confluence of singular points and Stokes phenomena. (English) Zbl 1084.34076 J. Dyn. Control Syst. 10, No. 2, 253-302 (2004). MSC: 34M35 34M40 × Cite Format Result Cite Review PDF Full Text: DOI
Biquard, Olivier; Boalch, Philip Wild non-abelian Hodge theory on curves. (English) Zbl 1051.53019 Compos. Math. 140, No. 1, 179-204 (2004). Reviewer: Shuguang Wang (Columbia) MSC: 53C07 34M55 32G34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corel, Eduardo Algorithmic computation of exponents for linear differential systems. (English) Zbl 1058.34122 Fauvet, F. (ed.) et al., From combinatorics to dynamical systems. Journées de calcul formel en l’honneur de Jean Thomann, Marseille, France, March 22–23, 2002. Berlin: de Gruyter (ISBN 3-11-017875-3/pbk). IRMA Lect. Math. Theor. Phys. 3, 17-61 (2003). Reviewer: Changgui Zhang (Villeneuve d’Ascq) MSC: 34M35 34A30 12H05 34C20 × Cite Format Result Cite Review PDF
Luo, Zhuangchu; Chen, Hua; Zhang, Changgui On the summability of the formal solutions for some PDEs with irregular singularity. (English. Abridged French version) Zbl 1028.35006 C. R., Math., Acad. Sci. Paris 336, No. 3, 219-224 (2003). MSC: 35A20 35C10 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
Campos, L. M. B. C. On some solutions of the extended confluent hypergeometric differential equation. (English) Zbl 1008.34003 J. Comput. Appl. Math. 137, No. 1, 177-200 (2001). Reviewer: Ismail Taqi Ali (Safat) MSC: 34A25 33C15 34A30 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Ivanyuk, Mykola M. On the stability for nonstationary systems with irregular singularity. (Ukrainian. English summary) Zbl 0984.34034 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 1, 22-26 (2001). MSC: 34D05 × Cite Format Result Cite Review PDF
Costin, Ovidiu; Costin, Rodica D. Asymptotic structure of movable singularities of solutions of nonlinear analytic differential systems. (English) Zbl 1001.34080 Howls, Christopher J. (ed.) et al., Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30-December 5, 1998. Kyoto: Kyoto University Press. 135-143 (2000). Reviewer: S.K.Chatterjea (Kolkata) MSC: 34M30 34M40 × Cite Format Result Cite Review PDF
Exton, H. A generalization of the biconfluent Heun equation and the general quartic anharmonic oscillator. (English) Zbl 0996.34005 Int. J. Math. Stat. Sci. 9, No. 2, 201-209 (2000). MSC: 34A25 34A30 34A05 × Cite Format Result Cite Review PDF
Remmal, S.; Christol, G. Irregular \(p\)-adic linear differential equations. (English) Zbl 0994.12001 Boulagouaz, M’hammed (ed.) et al., Algebra and number theory. Proceedings of a conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 208, 195-206 (2000). Reviewer: E.V.Pankrat’ev (Moskva) MSC: 12H25 34A25 × Cite Format Result Cite Review PDF
Lay, Wolfgang Difference equations of Poincaré-Perron type and central two-point connection problems. (English) Zbl 1013.34083 Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 263-272 (2000). MSC: 34M40 34M35 30B30 × Cite Format Result Cite Review PDF
Galiev, V. I.; Polupanov, A. F. Accurate solutions of coupled radial Schrödinger equations. (English) Zbl 0972.81033 J. Phys. A, Math. Gen. 32, No. 29, 5477-5492 (1999). MSC: 81Q05 81Q10 81U20 65M70 34E05 34L25 34L05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, C. Y. Simply supported \(L\)- and cross-shaped plates under uniform lateral load. (English) Zbl 0940.74031 Int. J. Mech. Sci. 41, No. 1, 59-69 (1999). MSC: 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Costin, Ovidiu; Kruskal, Martin D. On optimal truncation of divergent series solutions of nonlinear differential systems. (English) Zbl 0945.34071 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1985, 1931-1956 (1999). Reviewer: Shun Shimomura (Yokohama) MSC: 34M25 34A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sabbah, Claude Harmonic metrics and connections with irregular singularities. (English) Zbl 0947.32019 Ann. Inst. Fourier 49, No. 4, 1265-1291 (1999). Reviewer: Tohsuke Urabe (Ibaraki) MSC: 32S40 32S60 32L10 35A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Costin, Ovidiu On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations. (English) Zbl 0948.34068 Duke Math. J. 93, No. 2, 289-344 (1998). Reviewer: S.K.Chatterjea (Calcutta) MSC: 34M40 34M25 34M37 × Cite Format Result Cite Review PDF Full Text: DOI
Ivanyuk, N. N. To the asymptotics of solutions to systems of differential equations with irregular singularity. (English. Russian original) Zbl 0953.34076 Differ. Equations 34, No. 12, 1711-1712 (1998); translation from Differ. Uravn. 34, No. 12, 1701-1702 (1998). MSC: 34M35 × Cite Format Result Cite Review PDF
Olver, F. W. J. Advances in the asymptotic and numerical solution of linear ordinary differential equations. (English) Zbl 0932.34056 Dai, H.-H. (ed.) et al., Recent advances in differential equations. Papers from the 1st Pan-China conference on differential equations, Kunming, China, May 31–June 3, 1997. Harlow: Longman. Pitman Res. Notes Math. Ser. 386, 3-14 (1998). Reviewer: S.K.Chatterjea (Calcutta) MSC: 34E05 34M30 34A30 × Cite Format Result Cite Review PDF
Campos, L. M. B. C.; Serrão, P. G. T. A. On the acoustics of an exponential boundary layer. (English) Zbl 0928.76101 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 356, No. 1746, 2335-2378 (1998). Reviewer: A.Trad (Paris) MSC: 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Olde Daalhuis, A. B.; Olver, F. W. J. On the asymptotic and numerical solution of linear ordinary differential equations. (English) Zbl 0914.34056 SIAM Rev. 40, No. 3, 463-495 (1998). Reviewer: N.V.Grigorenko (Kyïv) MSC: 34E05 34M99 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Iwano, Masahiro General solution to a nonlinear \((m+n)\)-system with an irregular type singularity without Poincaré condition. (English) Zbl 0940.34070 Ann. Mat. Pura Appl., IV. Ser. 172, 257-285 (1997). Reviewer: Shun Shimomura (Yokohama) MSC: 34M35 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Honda, Naofumi Stokes phenomena of holonomic systems. (Japanese) Zbl 0967.32014 RIMS Kokyuroku 1014, 21-30 (1997). Reviewer: Akira Asada (Takarazuka) MSC: 32G34 34M40 × Cite Format Result Cite Review PDF
Lutz, D. A.; Schäfke, R. Calculating connection coefficients for meromorphic differential equations. (English) Zbl 0911.34003 Complex Variables, Theory Appl. 34, No. 1-2, 145-170 (1997). Reviewer: Shun Shimomura (Yokohama) MSC: 34M05 34E20 34A25 34B05 34M40 × Cite Format Result Cite Review PDF Full Text: DOI
Murphy, B. T. M.; Wood, A. D. Hyperasymptotic solutions of second-order ordinary differential equations with a singularity of arbitrary integer rank. (English) Zbl 0899.34034 Methods Appl. Anal. 4, No. 3, 250-260 (1997). Reviewer: J.Schmeelk (Richmond) MSC: 34E05 34M99 × Cite Format Result Cite Review PDF Full Text: DOI
Mandai, Takeshi A construction of asymptotic solutions and the existence of smooth null-solutions for a class of non-Fuchsian partial differential operators. (English) Zbl 0877.35007 Nagoya Math. J. 145, 125-142 (1997). Reviewer: T.Mandai (Yanagido, Gifu) MSC: 35A20 35C20 35B40 35G05 × Cite Format Result Cite Review PDF Full Text: DOI
Olde Daalhuis, A. B.; Olver, F. W. J. On the calculation of Stokes multipliers for linear differential equations of the second order. (English) Zbl 0838.34006 Methods Appl. Anal. 2, No. 3, 348-367 (1995). MSC: 34M99 65D30 34E05 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Hsieh, Po-Fang Analytic solutions of a degenerated system of two nonlinear equations at an irregular type singularity. (English) Zbl 0845.34060 Kumamoto J. Math. 8, 61-99 (1995). Reviewer: K.Takano (Kobe) MSC: 34E05 34M99 34L30 × Cite Format Result Cite Review PDF
Olver, F. W. J. Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations. (English) Zbl 0838.34071 Methods Appl. Anal. 1, No. 1, 1-13 (1994). Reviewer: V.V.Strygin (Voronezh) MSC: 34E05 33B15 34M99 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Tabak, Esteban G.; Rosales, Rodolfo R. Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection. (English) Zbl 0831.76039 Phys. Fluids 6, No. 5, 1874-1892 (1994). Reviewer: W.Wuest (Göttingen) MSC: 76L05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Shimomura, Shun On a generalized Bessel function of two variables. I. (English) Zbl 0844.33009 J. Math. Anal. Appl. 187, No. 2, 468-484 (1994). Reviewer: H.Kimura (Kamamoto) MSC: 33C70 33C15 × Cite Format Result Cite Review PDF Full Text: DOI
Olde Daalhuis, A. B.; Olver, F. W. J. Exponentially improved asymptotic solutions of ordinary differential equations. II: Irregular singularities of rank one. (English) Zbl 0809.34007 Proc. R. Soc. Lond., Ser. A 445, No. 1923, 39-56 (1994). Reviewer: S.Mazanik (Minsk) MSC: 34M35 34A25 34E05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Braaksma, B. L. J. Multisummability and Stokes phenomenon for linear meromophic differential equations. (English) Zbl 0899.34001 Alavi, Yousev (ed.) et al., Trends and developments in ordinary differential equations. Proceedings of the international symposium, Kalamazoo, MI, USA, May 20-22, 1993. Singapore: World Scientific. 15-26 (1994). Reviewer: Sheng Liren (Hefei) MSC: 34M37 34M30 34M40 × Cite Format Result Cite Review PDF
Bajaj, Prem N. Use of operators in difference equations. (English) Zbl 0891.39003 Alavi, Yousev (ed.) et al., Trends and developments in ordinary differential equations. Proceedings of the international symposium, Kalamazoo, MI, USA, May 20-22, 1993. Singapore: World Scientific. 7-11 (1994). Reviewer: Sheng Liren (Hefei) MSC: 39A10 × Cite Format Result Cite Review PDF
Olver, F. W. J. Exponentially-improved asymptotic solutions of ordinary differential equations. (English) Zbl 0791.34051 Sleeman, B. D. (ed.) et al., Ordinary and partial differential equations. Volume IV. Proceedings of the twelfth Dundee conference held at the University of Dundee, UK, June 22-26, 1992. In honour of Professor D. S. Jones. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 289, 238-247 (1993). Reviewer: S.Mazanik (Minsk) MSC: 34E05 34M99 × Cite Format Result Cite Review PDF
Möhring, W.; Knipfer, A. A model for nonlinear axisymmetric droplet vibrations. (English) Zbl 0769.76014 Physica D 64, No. 4, 404-419 (1993). MSC: 76B99 76M30 70H05 × Cite Format Result Cite Review PDF Full Text: DOI
Callot, Jean-Louis Champs lents-rapides complexes à une dimension lente. (Slow-fast complex vector fields with one slow dimension). (French) Zbl 0769.34005 Ann. Sci. Éc. Norm. Supér. (4) 26, No. 2, 149-173 (1993). MSC: 34M99 34E15 34C23 37F99 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Koitabashi, Toshiyuki On a 2-parameter family of solutions to a nonlinear 2-system with an irregular singularity of signature (1,1). (English) Zbl 0758.34003 Kumamoto J. Math. 5, 21-46 (1992). Reviewer: A.Klíč (Praha) MSC: 34M35 34A34 34C20 × Cite Format Result Cite Review PDF
Exton, Harold On the triconfluent Heun equation \([0,0,1_ 5]\). (English) Zbl 0791.34010 Riv. Mat. Univ. Parma, V. Ser. 1, 33-37 (1992). Reviewer: M.Idemen (İstanbul) MSC: 34A25 34A05 34E05 33E20 34C28 34B30 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
Exton, H. The doubly confluent Heun equation: A differential equation associated with the naked singularity in cosmology. (English) Zbl 0756.34010 Rend. Mat. Appl., VII. Ser. 11, No. 4, 905-911 (1991). Reviewer: J.Schmeelk (Richmond) MSC: 34A30 34A25 34M35 34B30 85A40 × Cite Format Result Cite Review PDF
Klares, Bernard; Sadler, Charles Irregular singularity, iterated integrals and connexion problem. (English) Zbl 0754.34007 Funkc. Ekvacioj, Ser. Int. 34, No. 3, 505-527 (1991). Reviewer: H.S.Nur (Fresno) MSC: 34M35 34A25 35Q15 34A30 × Cite Format Result Cite Review PDF
Schmidt, D. Global representation for the solutions of second order meromorphic differential equations by special functions. (English) Zbl 0744.34012 Ordinary and partial differential equations. Vol. III, Proc. 11th Dundee Conf., Dundee/UK 1990, Pitman Res. Notes Math. Ser. 254, 183-207 (1991). Reviewer: D.Schmidt MSC: 34M99 33C05 33C15 × Cite Format Result Cite Review PDF
Tovbis, A. I. Lateral connection problem and Stokes phenomenon for certain functional spaces. (English) Zbl 0735.34008 Asymptotic Anal. 4, No. 3, 215-233 (1991). MSC: 34M99 34A30 30D05 34E05 15A24 × Cite Format Result Cite Review PDF
Immink, G. K. A note on the relationship between Stokes multipliers and formal solutions of analytic differential equations. (English) Zbl 0715.34011 SIAM J. Math. Anal. 21, No. 3, 782-792 (1990). MSC: 34M99 34A30 34A25 34E05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Exton, Harold On a generalization of the Bessel-Clifford equation and an application in quantum mechanics. (English) Zbl 0718.34003 Riv. Mat. Univ. Parma, IV. Ser. 15, 41-46 (1989). Reviewer: N.D.Sengupta (Bombay) MSC: 34A05 34A25 81Q99 × Cite Format Result Cite Review PDF
Averbukh, A. Z.; Mavlyutov, I. G. Vibrations of a cylindrical shell with longitudinal ribs not reaching its edges. (English. Russian original) Zbl 0724.73131 Sov. Appl. Mech. 24, No. 1, 32-37 (1988); translation from Prikl. Mekh., Kiev 24, No. 1, 37-42 (1988). MSC: 74H45 74A55 74M15 74K15 × Cite Format Result Cite Review PDF Full Text: DOI
Tovbis, A. I. Asymptotic sectors and the Stokes matrices for a system of linear differential equations with an irregular singularity. (Russian) Zbl 0697.34008 Functional spaces and equations of mathematical physics, Collect. Sci. Works, 62-77 (1988). Reviewer: J.Vosmanský MSC: 34A25 34A30 34M35 × Cite Format Result Cite Review PDF
Babbitt, D. G.; Varadarajan, V. S. Local isoformal deformation theory for meromorphic differential equations near an irregular singularity. (English) Zbl 0668.34010 Deformation theory of algebras and structures and applications, Nato Adv. Study Inst., Castelvecchio-Pasoli/Italy 1986, Nato ASI Ser., Ser. C 247, 583-700 (1988). Reviewer: S.Kosarew MSC: 34M35 32G13 34A25 × Cite Format Result Cite Review PDF