On a system of differential equations with operator coefficients and its applications to multidimensional systems of composite type
| Autor: | K. Kh. Boimatov |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Statistics and Probability
Stochastic partial differential equation Semi-elliptic operator Method of undetermined coefficients Linear differential equation Homogeneous differential equation Applied Mathematics General Mathematics Mathematical analysis C0-semigroup Symbol of a differential operator Mathematics Numerical partial differential equations |
| Zdroj: | Journal of Mathematical Sciences. 69:939-973 |
| ISSN: | 1573-8795 |
| DOI: | 10.1007/bf01250081 |
| Popis: | A mixed problem for a system of differential equations with operator coefficients is considered on an interval. Necessary and sufficient conditions for the existence of at least one solution of the given problem are investigated. It is established that the linear manifold of the solutions of the homogeneous problem is finite-dimensional. The obtained results are applied to multidimensional systems of differential equations of composite type, defined in cylindrical domains. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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