MATRITSAVIY QIYMATLI KVADRATIK SHTURM – LIUVILL MASALASI

Authors

  • Qurbandurdiyev Shahzodbek Uktam o‘g‘li Urganch Davlat Universiteti o‘qituvchisi, Urganch, shahzodbekqurbandurdiyev@gmail.com Author

Keywords:

xos son, funksiya, spektr, xarakteristik tenglama, Shturm-Liuvll.

Abstract

Ushbu maqolada matritsiyaviy kvadratik Shturm-Liuvill masalasi xos son va xos funksiyalarini ifodalash uchun lemmalar keltirilgan.

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References

N.K Chakravarty and S.K.Acharyya, On an extension of the theorem of V.A. Ambarzumyan Proceeding of the Royal Society of Edinburg, 100A, 79-84 (1988).

H.H Chern and C.L Shern, On the n – dimensional Ambarzumyan’s theorem, Inverse Problems, 15-18 (1997).

H.H Chern, C.K Law and H.J Wang, Extension of Ambarzumyan’s theorem to general boundary conditions, Journal of Mathematical Analysis and Applications , 263, 333-342 (2001).

R.Carlson and V.N Pivorachik, Ambarzumyan’s theorem for trees, Electronic Journal of Differential Equations 142, 1-9 (2007).

M. Horath, On a theorem of Ambarzumyan, Proceeding of the Royal Society of Edinburg, 131, 899-907 (2001).

C.F Yang , Trace formulae for the matrix Schrodinger equation with energy – dependent potensial. Journal of Mathematical Analysis and Applications , 393, 526-533,(2012).

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Published

2024-12-25