B − GIPERBOLIK TENGLAMA UCHUN IKKINCHI CHEGARAVIY MASALA

Sultonov Muhammad

Osiyo Xalqaro Universiteti Matematika yo'nalishi 1-kurs talabasi

Keywords: giperbolik tenglama, ikkinchi chegaraviy masala, differensial tenglamalar, matematik fizika

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Abstract

Mazkur maqolada B − giperbolik tenglamalar uchun ikkinchi chegaraviy masalani o‘rganish, ularning nazariy asoslari, tarixiy rivoji, milliy va xorijiy olimlarning hissasi, shuningdek, empirik tadqiqotlar va amaliy qo‘llanilishi keng qamrab olingan. Giperbolik tenglamalar matematik fizika va muhandislikda muhim ahamiyat kasb etib, ularni chegaraviy shartlar bilan to‘liq tadqiq etish ko‘plab real muammolarni yechishda asosiy omil hisoblanadi. Maqolada masalaning dolzarbligi, hozirgi zamon tadqiqotlari, tanqidiy yondashuvlar va kelgusi istiqbollari batafsil tahlil qilinadi.

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References

1. Hadamard, J. Lectures on Cauchy's problem in linear partial differential equations. Yale University Press, 1923.

2. Sobolev, S.L. Applications of Functional Analysis in Mathematical Physics. American Mathematical Society, 1963.

3. Rasulov, M.A. Aralash tipdagi differensial tenglamalar uchun chegaraviy masalalar. Toshkent: Fan, 1982.

4. Lions, J.L. Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, 1969.

5. Courant, R., & Hilbert, D. Methods of Mathematical Physics. Vol. II, Wiley, 1962.

6. Islomov, Z.I., Rozikov, U.A., Ganiev, A.I. Giperbolik tenglamalar uchun zamonaviy sonli va analitik usullar. Toshkent: IQTISOD-MOLIYA, 2020.