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KOEFFITSIYENTLARI KOMPLEKS QIYMATLI BO‘LGAN SHTURM-LIUVILL OPERATORLARI KVADRATIK DASTASINING BITTA SINFI UCHUN XILL DISKRIMINANTI

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ARTICLE ANNOTATION

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In this article, there was considered the special class of quadratic pencils of Sturm-Liouville operators with complex-valued coefficients. Specific form of the Hill discrimi-nant corresponding to this problem was found, in particular, there was shown the coincidence of the spectrum with the real axis.

AUTHORS

A.Yaxshimurodov

UrDU

Tags

# teskari spektral masala# обратная спектральная задача# quadratic pencil of Sturm-Liouvi# inverse spectral problem# квадратичный пучок операторов Шт# vShturm-Liuvill operatorlarining# Xill diskriminanti# Lyapunov funksiyasi# kompleks qiymatli potensial# дискриминант Хилла# функция Ляпунова# комплекснозначный по-тенциал# Hill’s discriminant# Lyapunov function# complex-valued potential

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References

Гасымов М.Г. Спектральный анализ одного класса несамосопряженных дифференциальных операторов второго порядка. Функц. анализ и его прилож., 1980, т. 14, №1, с. 14 – 19.