Linear differential operators and operator matrices of the second order
| Autor: | I. D. Kostrub, A. G. Baskakov, T. I. Smagina, L. Yu. Kabantsova |
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| Rok vydání: | 2017 |
| Předmět: |
Unbounded operator
General Mathematics 010102 general mathematics 02 engineering and technology Finite-rank operator Operator theory Compact operator 01 natural sciences Algebra Semi-elliptic operator Elliptic operator 020303 mechanical engineering & transports 0203 mechanical engineering Hypoelliptic operator 0101 mathematics C0-semigroup Analysis Mathematics |
| Zdroj: | Differential Equations. 53:8-17 |
| ISSN: | 1608-3083 0012-2661 |
| DOI: | 10.1134/s0012266117010025 |
| Popis: | Linear differential operators (equations) of the second order in Banach spaces of vector functions defined on the entire real axis are studied. Conditions of their invertibility are given. The main results are based on putting a differential operator in correspondence with a second-order operator matrix and further use of the theory of first-order differential operators that are defined by the operator matrix. A general scheme is presented for studying the solvability conditions for different classes of second-order equations using second-order operator matrices. The scheme includes the studied problem as a special case. |
| Databáze: | OpenAIRE |
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