| Autor: |
GASYMOV, TELMAN B., AKHTYAMOV, AZAMAT M., AHMEDZADE, NIGAR R. |
| Předmět: |
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| Zdroj: |
Proceedings of Institute of Mathematics & Mechanics National Academy of Sciences of Azerbaijan; 2020, Vol. 46 Issue 1, p32-44, 13p |
| Abstrakt: |
We propose a new method for proving that eigenfunctions of non-self-adjoint differential operators in weighted Lebesgue spaces form a basis. A spectral problem for a second-order discontinuous differen- tial operator on a finite interval of the real axis with one discontinuity point, which divides the interval into commensurable parts, is consid- ered. The spectral parameter linearly enters both the equation and the transmission condition. Such problems arise when studying the prob- lem of oscillation of a loaded string with fixed ends by the method of separation of variables. A theorem on the basis properties of eigen and associated functions of the spectral problem in weighted spaces Lp,ρ;⊕C and Lp,ρ;⊕ with a power weight function ρ(·) satisfying the Muckenhoupt condition is proved. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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