Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SEMR_2023_20_1_a26, author = {M. V. Korovina and H. A. Matevossian}, title = {On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {251--261}, publisher = {mathdoc}, volume = {20}, number = {1}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SEMR_2023_20_1_a26/} }
TY - JOUR AU - M. V. Korovina AU - H. A. Matevossian TI - On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2023 SP - 251 EP - 261 VL - 20 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2023_20_1_a26/ LA - ru ID - SEMR_2023_20_1_a26 ER -
%0 Journal Article %A M. V. Korovina %A H. A. Matevossian %T On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points %J Sibirskie èlektronnye matematičeskie izvestiâ %D 2023 %P 251-261 %V 20 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SEMR_2023_20_1_a26/ %G ru %F SEMR_2023_20_1_a26
M. V. Korovina; H. A. Matevossian. On uniform asymptotics of solutions of second-order differential equations with meromorphic coefficients in a neighborhood of singular points. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 1, pp. 251-261. http://geodesic.mathdoc.fr/item/SEMR_2023_20_1_a26/
[1] J. Ecalle, Cinq applications des fonctions resurgentes, Prepub. Math. d'Orsay, 62, 1984
[2] F. dell'Isola, H. Gouin, P. Seppecher, “Radius and surface tension of microscopic bubbles by second gradient theory”, C. R. Acad. Sci., Paris, Sér. II, Fasc., 320:5 (1995), 211–216 | Zbl
[3] F. dell'Isola, H. Gouin, G. Rotoli, “Nucleation of spherical shell-like interfaces by second gradient theory: Numerical simulations”, Eur. J. Mech., 15:4 (1996), 545–568 | Zbl
[4] V.A. Kondrat'ev, “Boundary value problems for parabolic equations in closed domains”, Tr. Mosk. Mat. O-va, 15, 1966, 400–451 | MR | Zbl
[5] V.A. Kondrat'ev, “Boundary value problems for elliptic equations in domains with conical or angular points”, Tr. Mosk. Mat. O-va, 16, 1967, 209–292 | MR | Zbl
[6] M.V. Korovina, “Existence of resurgent solutions for equations with higher-order degeneration”, Differ. Equ., 47:3 (2011), 346–354 | DOI | MR | Zbl
[7] M.V. Korovina, “Asymptotics of solutions of partial differential equations with higher degenerations and the Laplace equation on a manifold with a cuspidal singularity”, Differ. Equ., 49:5 (2013), 588–598 | DOI | MR | Zbl
[8] M. Korovina, “Asymptotics of solutions of linear differential equations with holomorphic coefficients in the neighborhood of an infinitely distant point”, MDPI Mathematics, 8:12 (2020), 2249
[9] M.V. Korovina, O.A. Matevosyan, I.N. Smirnov, “On the asymptotics of solutions of the wave operator with meromorphic coefficients”, Math. Notes, 109:2 (2021), 312–316 | DOI | MR | Zbl
[10] M.V. Korovina, H.A. Matevossian, I.N. Smirnov, “Uniform asymptotics of solutions of the wave operator with meromorphic coefficients”, Applicable Analysis, 2021 | DOI | MR
[11] H.A. Matevossian, “On the Steklov-type biharmonic problem in unbounded domains”, Russ. J. Math. Phys., 25:2 (2018), 271–276 | DOI | MR | Zbl
[12] H.A. Matevossian, “On the polyharmonic Neumann problem in weighted spaces”, Complex Var. Elliptic Equ., 64:1 (2019), 1–7 | DOI | MR | Zbl
[13] H.A. Matevossian, “Asymptotics and uniqueness of solutions of the elasticity system with the mixed Dirichlet-Robin boundary conditions”, MDPI Mathematics, 8:12 (2020), 2241
[14] H. Poincaré, “Sur les intégrales irrégulières des équations linéaires”, Acta Math., 8 (1886), 295–344 | DOI | MR | Zbl
[15] H. Poincaré, Selected Works, v. 3, Mathematics. Theoretical Physics. Analysis of the mathematical and natural works of Henri Poincaré, Nauka, M., 1974 | Zbl
[16] G. Sciarra, F. dell'Isola, K. Hutter, “Dilatational and compacting behavior around a cylindrical cavern leached out in a solid-fluid elastic rock salt”, Int. J. Geomechanics, 5:3 (2005), 233–243 | DOI
[17] B.-W. Schulze, B. Sternin, V. Shatalov, Asymptotic Solutions to Differential Equations on Manifolds with Cusps, Preprint MPI No 96-89, Max-Planck-Institut fur Mathematik, Bonn, 1996
[18] B.-W. Schulze, B. Sternin, V. Shatalov, “An operator algebra on manifolds with cusp-type singularities”, Ann. Global Anal. Geom., 16:2 (1998), 101–140 | DOI | MR | Zbl
[19] B.Yu. Sternin, V. E. Shatalov, “Differential equations in spaces with asymptotics on manifolds with cusp singularities”, Differ. Equ., 38:12 (2002), 1764–1773 | DOI | MR | Zbl
[20] L.W. Thomé, “Zür Theorie der linearen Differentialgleichungen”, Borchardt J., 74 (1872), 193–218 | MR | Zbl