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AMBARZUMYAN TYPE THEOREM FOR A QUADRATIC PENCIL OF STURM–LIOUVILLE OPERATORS

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MAQOLA ANNOTATSIYASI

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Bu maqolada Shturm-Liuvill operatorlarining kvadratik dastasi uchun teska-ri masala oʻrganilgan, jumladan, regular Shturm-Liuvill operatori uchun Ambarsumyanning klassik teoremasi Shturm-Liuvill operatorlarining kvadratik dastasi holida isbotlangan.

MUALLIFLAR

B.Babajanov

UrDU

Teglar

# quadratic pencil of Sturm-Liouvi# обратная задача# inverse problem# teskari masala# yagonalik teoremasi# теорема единственности# Shuturm-Liuvill operatorining kv# Am-barsumyan teoremasi# квадратичный пучок операторов Шт# теорема Амбарцумяна# uniqueness theorem# Ambar-zumyan’s theorem

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Foydalanilgan adabiyotlar

P.Jonas. On the spectral theory of operators associated with perturbed Klein–Gordon and wave type equations. J. Oper. Theory, 29 (2):207–224, 1993.