parabolic-hyperbolic equation;
initial-boundary value problem;
spectral method;
unique solvability;
D O I:
10.1285/i15900932v43n1p57
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We consider the mixed type equation with the nonlocal boundary condition and the initial condition. A uniqueness for the solvability of this boundary problem is shown.
机构:
Samara State Univ Architecture & Bldg, Ul Molodogvardeiskaya 194, Samara 443001, RussiaSamara State Univ Architecture & Bldg, Ul Molodogvardeiskaya 194, Samara 443001, Russia
机构:
Institute of Mathematics named after V. I. Romanovsky of the Academy of Sciences ofthe Republic of Uzbekistan, Tashkent
Namangan Engineering-Construction Institute, NamanganInstitute of Mathematics named after V. I. Romanovsky of the Academy of Sciences ofthe Republic of Uzbekistan, Tashkent
Apakov Y.P.
Mamajonov S.M.
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机构:
Institute of Mathematics named after V. I. Romanovsky of the Academy of Sciences ofthe Republic of Uzbekistan, TashkentInstitute of Mathematics named after V. I. Romanovsky of the Academy of Sciences ofthe Republic of Uzbekistan, Tashkent
机构:
Institute of Applied Mathematics and Automation, Kabardino Balkariya Science Center of RAS, NalchikInstitute of Applied Mathematics and Automation, Kabardino Balkariya Science Center of RAS, Nalchik
机构:
Institute of Applied Research of Republic Bashkortostan, Odesskaya ul. 68, Sterlitamak, Republic Bashkortostan
Sterlitamak Branch of Bashkir State University, pr. Lenina 49, Republic BashkortostanInstitute of Applied Research of Republic Bashkortostan, Odesskaya ul. 68, Sterlitamak, Republic Bashkortostan