TO‘G‘RI TO’RTBURCHAKDA BUZILADIGAN ELLIPTIK TIPDAGI TENGLAMA UCHUN SPEKTRAL MASALA

Authors

  • Usmonov Doniyor Abdumutalib o‘g‘li Author
  • Turdiyeva Komila Obidjon qizi Author

Abstract

Ushbu maqolada to‘g‘ri to ‘rtburchak sohada buziladigan elliptik tipdagi tenglama uchun Drixle shartli spektral masala o‘rganilgan. Bu masalaning sanoqli sondagi musbat xos sonlari mavjud ekanligi ko‘rsatilgan. Bu xos sonlarga mos xos funksiyalar sistemasi ortogonal ekanligi isbotlangan.

References

1. A.N.Kolmogorov, S.V. Fomin. Elements of the Theory of Functions and Functional Analysis. Moscow: Nauka, 1976.

2. V.I. Smirnov. A Course of Higher Mathematics, Vol. IV. Moscow: Nauka, 1981.

3. S.G. Mikhlin. Variational Methods in Mathematical Physics. Oxford: Pergamon Press, 1964.

4. A.N. Tikhonov, A.A. Samarskii. Equations of Mathematical Physics. New York: Dover Publications, 1990.

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Published

2026-05-28

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