TO‘G‘RI TO’RTBURCHAKDA BUZILADIGAN ELLIPTIK TIPDAGI TENGLAMA UCHUN SPEKTRAL MASALA
Keywords:
buziladigan elliptik tenglama, spektral masala, Drixle-Neyman shartlari, xos sonlar, xos funksiyalar, integral tenglama.Abstract
Ushbu maqolada to‘g‘ri to ‘rtburchak sohada buziladigan elliptik tipdagi tenglama uchun Drixle-Neyman 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
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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
2026-02-20
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