Transmission problem for odd-order differential equations with two time variables and a varying direction of evolution
- Autores: Kozhanov A.I.1, Potapova S.V.2
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Afiliações:
- Sobolev Institute of Mathematics, Siberian Branch
- Research Institute of Mathematics
- Edição: Volume 95, Nº 3 (2017)
- Páginas: 267-269
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225122
- DOI: https://doi.org/10.1134/S1064562417030231
- ID: 225122
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Resumo
The solvability of a boundary value problem for the differential equation \(h\left( x \right){u_t} + {\left( { - 1} \right)^m}\frac{{{\partial ^{2m + 1}}u}}{{\partial {a^{2m + 1}}}} - {u_{xx}} = f\left( {x,t,a} \right)\) is studied in the case where h(x) has a jump discontinuity and reverses its sign on passing through the discontinuity point. Existence and uniqueness theorems are proved in the case of solutions having all Sobolev generalized derivatives involved in the equation.
Sobre autores
A. Kozhanov
Sobolev Institute of Mathematics, Siberian Branch
Autor responsável pela correspondência
Email: kozhanov@math.nsc.ru
Rússia, Novosibirsk, 630090
S. Potapova
Research Institute of Mathematics
Email: kozhanov@math.nsc.ru
Rússia, Yakutsk, 677000
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