## Found 234 Documents (Results 1–100)

100
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### Some notes on the parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms. (English)Zbl 07533059

Filipuk, Galina (ed.) et al., Formal and analytic solutions of differential equations. Selected contributions based on the presentations at the conference, virtual, June 29 – July 3, 2020. Singapore: World Scientific. 363-378 (2022).
MSC:  35C10 35C20 44A10
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### Summability of the formal power series solutions of a certain class of inhomogeneous nonlinear partial differential equations with a single level. (English)Zbl 1487.35183

MSC:  35C10 35C20 40B05
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### On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms. (English)Zbl 1467.35098

MSC:  35C10 35C20 35B25
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### The effect of weak mutual diffusion on transport processes in a multiphase medium. (English. Russian original)Zbl 1462.35036

Comput. Math. Math. Phys. 61, No. 3, 494-503 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 3, 519-528 (2021).
MSC:  35B25 35C20 35Q53
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### On the Borel summability of WKB solutions of certain Schrödinger-type differential equations. (English)Zbl 1472.34158

MSC:  34M30 34M25 34M03
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### Boundary layer expansions for initial value problems with two complex time variables. (English)Zbl 1487.35182

MSC:  35C10 35C20
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### Parametric Gevrey asymptotics in two complex time variables through truncated Laplace transforms. (English)Zbl 1485.35116

MSC:  35C10 35C20 44A10
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### Asymptotic eigenfunctions for Schrödinger operators on a vector bundle. (English)Zbl 1473.35377

MSC:  35P20 35J10 35C20
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### Internal layer for a singularly perturbed equation with discontinuous right-hand side. (English. Russian original)Zbl 1458.34104

Differ. Equ. 56, No. 10, 1276-1284 (2020); translation from Differ. Uravn. 56, No. 10, 1310-1317 (2020).
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### On the summability of formal solutions of some linear $$q$$-difference-differential equations. (English)Zbl 1447.35115

MSC:  35C20 35C10 39A13
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### A note on $$G_q$$-summability of formal solutions of some linear $$q$$-difference-differential equations. (English)Zbl 1431.39004

MSC:  39A13 39A70 39A06
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### On the exact Gevrey order of formal Puiseux series solutions to the third Painlevé equation. (English)Zbl 1465.34098

MSC:  34M25 34M30 34M55
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### The Borel transform of canard values and its singularities. (English)Zbl 1404.34109

Filipuk, Galina (ed.) et al., Formal and analytic solutions of diff. equations, FASdiff, Alcalá de Henares, Spain, September 4–8, 2017. Selected, revised contributions. Cham: Springer (ISBN 978-3-319-99147-4/hbk; 978-3-319-99148-1/ebook). Springer Proceedings in Mathematics & Statistics 256, 149-175 (2018).
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### Generating asymptotics for factorially divergent sequences. (English)Zbl 1398.05034

MSC:  05A16 05A05
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### Asymptotics of a solution of a three-dimensional nonlinear wave equation near a butterfly catastrophe point. (English. Russian original)Zbl 1400.35019

Proc. Steklov Inst. Math. 301, Suppl. 1, S72-S87 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 2, 250-265 (2017).
MSC:  35B25 35L15 35L71
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### 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
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### Asymptotic analysis and summability of formal power series. (English)Zbl 1406.30002

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, 199-262 (2017).
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### Generating asymptotics for factorially divergent sequences. (English. French summary)Zbl 1384.05013

MSC:  05A15 05A05 16W60
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### On parametric Gevrey asymptotics for a $$q$$-analog of some linear initial value problem. (English)Zbl 1395.35069

MSC:  35C10 35C20 35A22
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### A solution decomposition for a singularly perturbed fourth-order problem. (English)Zbl 1368.35022

MSC:  35B25 35C20 35G15
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### Vibrational resonance: a study with high-order word-series averaging. (English)Zbl 1432.34058

MSC:  34C29 34E05 70K30
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### On parametric multisummable formal solutions to some nonlinear initial value Cauchy problems. (English)Zbl 1422.35009

MSC:  35C10 35C20
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### On parametric multilevel $$q$$-Gevrey asymptotics for some linear $$q$$-difference-differential equations. (English)Zbl 1422.35008

MSC:  35C10 35C20 39A70
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### $$q$$-analogue of summability of formal solutions of some linear $$q$$-difference-differential equations. (English)Zbl 1329.35104

MSC:  35C10 35C20 39A13
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### On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity. (English)Zbl 1331.34167

MSC:  34M55 34M25 34M30
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### On Gevrey solutions of threefold singular nonlinear partial differential equations. (English)Zbl 1320.35150

MSC:  35C10 35C20
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### Wavespeed selection in the heterogeneous Fisher equation: slowly varying inhomogeneity. (English)Zbl 1270.35184

MSC:  35C20 35K57 35C07
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### Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences. (English)Zbl 1368.11005

MSC:  11A63 41A60
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### Convergence of a formal solution to an ODE. (English)Zbl 1291.34027

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, 23-26 (2012).
MSC:  34A25 34E05

### 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
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### Extension of formal conjugations between diffeomorphisms. (English)Zbl 1333.37054

MSC:  37F45 37G10 30E15
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### Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions. (English. Russian original)Zbl 1259.35025

Sb. Math. 203, No. 8, 1169-1195 (2012); translation from Mat. Sb. 203, No. 8, 97-124 (2012).
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### On singularly perturbed $$q$$-difference-differential equations with irregular singularity. (English)Zbl 1219.35020

MSC:  35B25 35C10 35C20
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### Convergence of the nonisentropic Euler-Maxwell equations to compressible Euler-Poisson equations. (English)Zbl 1373.35260

MSC:  35Q35 35Q31
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### Multiscale modeling of electrical and intracellular activity in the pancreas: the islet tridomain equations. (English)Zbl 1197.35030

MSC:  35B27 92C30 35C20
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### Solutions of systems of linear ordinary differential equations. (English)Zbl 1178.34110

Arendt, Wolfgang (ed.) et al., Mathematical analysis of evolution, information, and complexity. Weinheim: Wiley-VCH (ISBN 978-3-527-40830-6/hbk). 73-98 (2009).

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### Construction of asymptotic solutions of a singularly perturbed linear system of differential equations with irregular singular point in the case of a multiple spectrum of the boundary matrix. (English. Ukrainian original)Zbl 1276.34079

Nonlinear Oscil., N.Y. 11, No. 1, 135-151 (2008); translation from Nelinijni Kolyvannya 11, No. 1, 128-144 (2008).
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### Singular linear differential equations in two variables. (English)Zbl 1172.35354

MSC:  35F05 34E05 34M40
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### A two-dimensional metastable flame-front and a degenrate spike-layer problem. (English)Zbl 1140.35336

MSC:  35B25 35K60 35C20
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### Generating function associated with the Hankel determinant formula for the solutions of the Painlevé IV equation. (English)Zbl 1154.34398

MSC:  34M55 34M25 34E05
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### Multisummability of formal power series solutions of nonlinear partial differential equations in complex domains. (English)Zbl 1152.35015

MSC:  35C20 30E15 34M30

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### The asymptotic solution of a class of singularly perturbed boundary value problems for nonlinear singular equations. (Chinese. English summary)Zbl 1114.34324

MSC:  34E05 34E15 34B15

### Existence theory for a new semi-linear elliptic system arising in nonlinear shell theory. (English)Zbl 1175.74050

Chen, Chiun-Chuan (ed.) et al., Recent advances in elliptic and parabolic problems. Proceedings of the international conference, Hsinchu, Taiwan, February 16–20, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-189-7/hbk). 97-106 (2005).

### On the summability of formal solutions of linear partial differential equations. (English)Zbl 1085.35043

MSC:  35C10 35C20 40G10
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### On the Borel summability of formal solutions for some first order singular PDEs with irregular singularity. (English)Zbl 1079.35028

MSC:  35C10 35C20
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### Hypergeometric functions and parabolic partial differential equations. (English)Zbl 1064.35031

MSC:  35C10 35C20 35K10
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### Gevrey asymptotics and applications to holomorphic ordinary differential equations. (English)Zbl 1131.34333

Chen, Hua (ed.) et al., Differential equations and asymptotic theory in mathematical physics. Lectures from the conference, Wuhan University, Hubei, China, October 20–29, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-055-6/hbk). Series in Analysis 2, 44-99 (2004).

### On the Stokes geometry of higher order Painlevé equations. (English)Zbl 1086.34072

Loday-Richaud, Michèle (ed.), Complex analysis, dynamical systems, summability of divergent series and Galois theories. II. Volume in honor of Jean-Pierre Ramis. Proceedings of the conference, Toulouse, France, September 22–26, 2003 held on the occasion of J.-P. Ramis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-168-6/pbk). Astérisque 297, 117-166 (2004).
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### Generating function associated with the determinant formula for the solutions of the Painlevé II equation. (English)Zbl 1081.34087

Loday-Richaud, Michèle (ed.), Complex analysis, dynamical systems, summability of divergent series and Galois theories. II. Volume in honor of Jean-Pierre Ramis. Proceedings of the conference, Toulouse, France, September 22–26, 2003 held on the occasion of J.-P. Ramis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-168-6/pbk). Astérisque 297, 67-78 (2004).
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### Hunting mathematical butterflies. (English)Zbl 1070.34002

Ball, Rowena (ed.) et al., Nonlinear dynamics. From lasers to butterflies. Selected lectures from the 15th Canberra international physics summer school, Canberra, Australia, 21 January – February 1, 2002. River Edge, NJ: World Scientific (ISBN 981-238-320-4/hbk). World Sci. Lect. Notes Complex Syst. 1, 77-114 (2003).

### Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type. I. (English)Zbl 1055.35033

MSC:  35C20 35C10 35F05
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### A stability criterion for stationary curves to the curvature-driven motion with a triple junction. (English)Zbl 1036.35029

MSC:  35B35 35K55 82C24

### Borel summability of divergent solutions for singular first order linear partial differential equations with polynomial coefficients. (English)Zbl 1036.35051

MSC:  35C20 35C10 35F05

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### A linear Fuchsian equation with variable indices. (English)Zbl 1030.35004

MSC:  35A20 35C20
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### The first Lyapunov method for stongly nonlinear systems of differential equations. (English)Zbl 1040.34061

MSC:  34D20 70H14

### Gevrey asymptotic theory for singular first order linear partial differential equations of nilpotent type. II. (English)Zbl 1006.35019

Reviewer: L.Rodino (Torino)
MSC:  35C10 35E20 35C20
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### Boundary layer correctors for the solution of Laplace equation in a domain with oscillating boundary. (English)Zbl 1005.35028

MSC:  35C20 35J25 35B40
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### Hyperbolic-parabolic singular limits for first-order nonlinear systems. (English)Zbl 0986.35013

MSC:  35B25 35C20
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### The asymptotic theory of solutions for a semilinear wave equation in a two-dimensional space and its application. (Chinese. English summary)Zbl 0974.35075

MSC:  35L70 35B40 35C20

### Asymptotic expansions for the eigenvalues and the eigenfunctions of boundary value problems with rapidly oscillating coefficients in a layer. (English. Russian original)Zbl 1001.35093

Differ. Equ. 36, No. 6, 911-917 (2000); translation from Differ. Uravn. 36, No. 6, 822-828 (2000).
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### An asymptotic derivation of weakly nonlinear ray theory. (English)Zbl 0965.35092

MSC:  35L60 35C20
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### Generalized von Kármán equations. (Équations de von Kármán généralisées.) (French. Abridged English version)Zbl 0963.35037

MSC:  35C20 35J40 74K20 35J55
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### Derivation of the nonlinear membrane plate models from the three-dimensional elasticity. (Dérivation des modèles de plaques membranaires non linéaires à partir de l’élasticité tri-dimensionnelle.) (French)Zbl 0990.74035

MSC:  74K20 74K15 35Q72 74G10
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### Three-dimensional linearized elasticity for a thin shell: Formal series solution in power of thickness. (Élasticité linéarisée tridimensionnelle pour une coque mince: Résolution en série formelle en puissances de l’épaisseur.) (French. Abridged English version)Zbl 0957.74027

MSC:  74K25 74B15 74G10
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### On the uniqueness of asymptotic solutions to linear differential equations. (English)Zbl 0964.34043

MSC:  34E05 34M25
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### The asymptotic theory for a class of wave equations in three space dimensions. (Chinese. English summary)Zbl 0949.35097

MSC:  35L70 35C20 35L15

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