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@article{SEMR_2016_13_a74, author = {N. N. Shadrina}, title = {On the influence of parameters on the solvability of some conjugate problems for elliptical equations}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {411--425}, publisher = {mathdoc}, volume = {13}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a74/} }
TY - JOUR AU - N. N. Shadrina TI - On the influence of parameters on the solvability of some conjugate problems for elliptical equations JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2016 SP - 411 EP - 425 VL - 13 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2016_13_a74/ LA - ru ID - SEMR_2016_13_a74 ER -
%0 Journal Article %A N. N. Shadrina %T On the influence of parameters on the solvability of some conjugate problems for elliptical equations %J Sibirskie èlektronnye matematičeskie izvestiâ %D 2016 %P 411-425 %V 13 %I mathdoc %U http://geodesic.mathdoc.fr/item/SEMR_2016_13_a74/ %G ru %F SEMR_2016_13_a74
N. N. Shadrina. On the influence of parameters on the solvability of some conjugate problems for elliptical equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 411-425. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a74/
[1] Ladyzhenskaya O. A., “On the solution of general problem of diffraction”, DAN SSSR, 96:3 (1954), 433–436 | Zbl
[2] Oleinik O. A., “Boundary value problems for linear elliptic and parabolic equations with discontinuous coefficients”, News of Academy of Sciences The USSR. Ser. Mat., 25 (1961), 3–20 | Zbl
[3] Il'in V. A., Shishmarev I. A., “The method of potentials for the Dirichlet and the Neumann problems in the case of equations with discontinuous coefficients”, Sib. Mat. Phys., 2:1 (1961), 46–58 | Zbl
[4] Il'in V. A., “On the system of classical eigenfunctions of linear self-adjoint elliptic operator with discontinuous coefficients”, DAN SSSR, 137:2 (1961), 272–275 | Zbl
[5] Il'in V. A., Shishmarev I. A., “The problem on eigenfunctions for the operator $Lu=\mathrm{div}\,[p(x)\mathrm{grad}\, u]-q(x)u$ with discontinuous coefficients”, Siberian mathematical journal, 2:4 (1961), 520–536 | Zbl
[6] Il'in V. A., “The Fourier method for hyperbolic equations with discontinuous coefficients”, DAN SSSR, 142:1 (1962), 21–24 | Zbl
[7] Ladyzhenskaya O. A., Rivkind V. Ya., Ural'tseva N. N., “On the classic solvability of diffraction problems”, Tr. MIAN SSSR, 92, 1966, 116–146 | Zbl
[8] Isakov V. M., “The General problem of diffraction for hyperbolic equations”, Differential equations, Proceedings of the seminar of S. L. Sobolev, 2, Institute of mathematics of the SB RAS USSR, Novosibirsk, 1977, 32–56 | Zbl
[9] Kozhanov A. I., “The problem of conjugation for a class of equations of the composite type with alternating direction”, Non-classical equations of mathematical physics, Institute of mathematics SB RAS, Novosibirsk, 2002, 96–109 | Zbl
[10] Aliyev A. R., Mirzoev S. S., “On the theory of solvability of boundary value problems for operator-differential equations of high order”, Functional analysis and its applications, 44:3 (2010), 63–65 | Zbl
[11] Il'in V. A., Luferenko P. V., “Generalized solutions of mixed problems for a discontinuous wave equation under the condition of equality of impedances”, Reports of AS, 429:3 (2009), 317–321 | Zbl
[12] Il'in V. A., Luferenko P. V., “Mixed problems describing longitudinal vibrations of a rod consisting of two sections with different density, different elasticity, but the same impedances”, Reports of AS, 428:1 (2009), 12–15 | Zbl
[13] Rogozhnikov A. M., “The study of the mixed problem describing the process of oscillations of a rod consisting of several sections under the condition of the coincidence time-of-flight of waves for each of these sections”, Reports of AS, 441:4 (2012), 449–451
[14] Kuleshov A. A., “Mixed problems for the equation of longitudinal vibrations of an inhomogeneous rod with a free or fixed right end, which consists of two segments with different densities and elasticity”, Reports of AS, 442:4 (2012), 451–454 | Zbl
[15] Rogozhnikov A. M., “Study of the mixed problem describing the process of oscillations of a rod consisting of several sections with arbitrary lengths”, Reports of AS, 444:5 (2012), 488–491 | Zbl
[16] Smirnov I. P., “On the oscillations described by the telegraph equation in the case of a system consisting of several segments with different densities and elasticity”, Differential equations, 49:5 (2012), 643–648
[17] Moiseev E. I., Likhomanenko T. N., “On the one nonlocal problem for the equation of Lavrent'ev–Bitsadze”, Reports of AS, 446:3 (2012), 256–258 | Zbl
[18] Sabitov K. B., “Boundary value problem for equations of mixed type of the third order in a rectangular field”, Differential equations, 49:2 (2013), 488–496 | Zbl
[19] Shubin V. V., “Boundary value problems for equations of the third order with a bursting factor”, Vestnik NSU. Mathematics, mechanics, Informatics, 12:1 (2012), 126–138 | Zbl
[20] Potapova S. V., “Boundary value problems for pseudohyperbolic equations with a variable time direction”, TWMS J. Pure Appl. Math., 3:1 (2012), 73–91 | Zbl
[21] Kozhanov I. A., Potapova S. V., “The Dirichlet Problem for a class of equations of composite type with a discontinuous coefficient of the highest derivative”, The Far-East Mathematic Journal, 14:1 (2014), 48–65 | Zbl
[22] Kozhanov A. I., Sharin E. F., “The conjugate problem for some non-classical differential equations of high order”, Ukrainski matematichny Visnyk, 11:2 (2014), 181–202 | Zbl
[23] Kozhanov A. I., Sharin E. F., “The conjugate problem for some non-classical differential equations of high order, II”, Mathematical notes of NEFU, 21:1 (2014), 18–28 | Zbl
[24] Kozhanov I. A., Potapova S. V., “The conjugate problem for the equation of the third order with multiple characteristics with constant sign function of the highest derivative”, Vestnik NSU. Series: Mathematics, mechanics, Informatics, 15:2 (2015), 52–59
[25] Bitsadze V. A., The fundamentals of the theory of analytic functions of a complex variable, Nauka, M., 1969 | Zbl