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https://scidar.kg.ac.rs/handle/123456789/9440
Назив: | A solution to the inverse problem for the Sturm-Liouville-type equation with a delay |
Аутори: | Pikula, Milenko Vladičić V. Markovic, Olivera |
Датум издавања: | 2013 |
Сажетак: | The paper is devoted to study of the inverse problem of the boundary spectral assignment of the Sturm-Liouville with a delay. -y″(x) + q(x)y(α · x) = λy(x); q ∈ AC[0; π];α ∈ (0, 1] (1) with separated boundary conditions: y(0) = y(π) = 0 (2) y(0) = y′(π) = 0 (3) It is argued that if the sequence of eigenvalues is given λn(1) n and λn(2) n tasks (1-2) and (1-3) respectively, then the delay factor α ∈ (0, 1) and the potential q ∈ AC[0, π] are unambiguous. The potential q is composed by means of trigonometric Fourier coefficients. The method can be easily transferred to the case of α = 1 i.e. to the classical Sturm-Liouville problem. |
URI: | https://scidar.kg.ac.rs/handle/123456789/9440 |
Тип: | article |
DOI: | 10.2298/FIL1307237P |
ISSN: | 0354-5180 |
SCOPUS: | 2-s2.0-84888088347 |
Налази се у колекцијама: | Faculty of Teacher Education, Užice |
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10.2298-FIL1307237P.pdf | 81.24 kB | Adobe PDF | Погледајте |
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