KARRALI INTEGRALLARNING OPTIMALLASHTIRISH MASALALARIDAGI TATBIQLARI

Authors

  • Shirin To‘rabekova O‘zbekiston Xalqaro islomshunoslik akademiyasi, Axborot xavfsizligi yo‘nalishi, 1-kurs talabasi

DOI:

https://doi.org/10.5281/zenodo.15679748

Keywords:

karrali integral, funksional, optimallashtirish, chegaralangan soha, variatsion hisob, tatbiq.

Abstract

Mazkur maqolada karrali integrallarning optimallashtirish masalalarida qo‘llanilishi, ularning turli fizikaviy va muhandislik sohalarida modellashtirish va hisoblash jarayonlarida tutgan o‘rni yoritilgan. Keltirilgan misollar orqali karrali integral yordamida chegaralangan sohalardagi funksional miqdorlarni minimal yoki maksimal qiymatga olib keluvchi shartlarni aniqlash metodikasi yoritiladi.

References

Gelfand I.M., Fomin S.V. Calculus of Variations. – Prentice Hall, 1963.

Arfken G.B., Weber H.J. Mathematical Methods for Physicists. – Academic Press, 2012.

Krasnov M.L. Integral va differensial tenglamalar. – Toshkent: Fan, 1982.

Islomov N. Variatsion hisob va uning tatbiqlari. – Toshkent: TDPU, 2019.

Evans L.C. Partial Differential Equations. – American Mathematical Society, 2010.

Botirov A.B. Optimallashtirish nazariyasi. – T.: Oliy ta’lim, 2021

Downloads

Published

2025-06-16

How to Cite

To‘rabekova, S. (2025). KARRALI INTEGRALLARNING OPTIMALLASHTIRISH MASALALARIDAGI TATBIQLARI. Academic Research in Modern Science, 4(35), 85-88. https://doi.org/10.5281/zenodo.15679748