Spectral Analysis of Discontinuous Boundary-Value Problems with Retarded Argument
DOI:
https://doi.org/10.15407/mag14.01.078Анотація
У данiй статтi ми маємо справу iз спектральними властивостями розривних задач типу Штурма-Лiувiлля iз запiзненням аргументу. Ми розширюємо i узагальнюємо деякi пiдходи i результати класичних регулярних i розривних задач Штурма-Лiувiлля. Спочатку ми вивчаємо спектральнi властивостi задачi Штурма-Лiувiлля на пiвосi й отримуємо нижнi оцiнки для власних значень задачi. Потiм ми вивчаємо спектральнi властивостi задачi Штурма-Лiувiлля з розривною ваговою функцiєю, яка мiстить спектральний параметр в крайових умовах. Ми також отримуємо асимптотичнi формули для власних значень i власних функцiй задачi та межi вiдстанi мiж власними значеннями.
Mathematical Subject Classification: 34L15, 34L20, 35R10
Ключові слова:
диференцiальне рiвняння iз запiзненням аргументу, власний параметр, умови передачi, асимптотика власних значень, межi власних значеньПосилання
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