Oliy matеmatikadan misol va masalalar echish uchun o’quv - uslubiy qo’llanma Islom Karimov nomli Tashkent Davlat Universitetining Termiz filialida “Matematika va tabiiy- ilmiy fanlar” kafedrasida tayyorlangan. Uslubiy qo’llanma metematika fani bo’yicha ma’ruza, amaliy mashg’ulotlarga oid barcha o’quv – uslubiy materiallarni o’z ichiga oladi.
"In this paper we study subalgebras of complex finite dimensional evolution alge-bras. We obtain the classification of nilpotent evolution algebras whose any subalgebra isan evolution subalgebra with a basis which can be extended to a natural basis of algebra.Moreover, we formulate three conjectures related to the description of such non-nilpotentalgebras."
In this paper, we study the properties of self-similar solutions of a cross-diffusion parabolic system. In particular, we find the Zeldovich–Barenblatt type solution to the cross diffusive system. The asymptotic behavior of self-similar solutions are analyzed for both the slow andfast diffusive regimes. It is shown that coefficients of the main term of the asymptotic of solution satisfy some system of nonlinear algebraicequations.
"Let E2 be the 2-dimensional Euclidean space, LSim(2) be the group of all linear simi-larities of E2 and LSim+(2) be the group of all orientation-preserving linear similarities
of E2. The present paper is devoted to solutions of problems of global G-equivalence ofpaths and curves in E2 for the groups G =LSim(2), LSim+(2). Complete systems of
global G-invariants of a path and a curve in E2 are obtained. Existence and uniquenesstheorems are given. Evident forms of a path and a curve with the given global invariants
are obtained."
При применении методов теории бифуркаций к нелинейным граничным задачам для обык-новенных дифференциальных уравнений (ОДУ) четвёртого и более высоких порядков воз-никают технические трудности, связанные с исследованием спектра прямой и сопряжённойлинеаризованных задач, построением функций Грина (т.е. сдоказательством фредгольмо-вости спектральных задач и с определением многообразий точек бифуркации).
Mirzo Ulug'bek nomidagi O'zbekiston Milliy Universiteti
Sahifalar soni:
35
Yaratilgan vaqti:
2021-03-16 12:04:38
Tasodifiy miqdoring noma’lum zichlik funksiyasini noparametrik baholashdagidastlabki natijalar Rossiya matematiklari V.I.Glivenko va N.V.Smirnovlargategishli bo’lib, ular zichlik funksiyasining bahosi sifatida gistogrammanio’rganganlar. V.I.Glivenko ma’lum bir shartlar ostida gistogrammani birehtimollik bilan noma’lum zichlik funksiyasiga intilishini ko’rsatdi, N.V.Smirnov esa gistogrammani noma’lum zichlik funksiyasidan chetlanishiningabsolyut qiymatini normallangan maksimumini limit taqsimotini topdi.
Mirzo Ulug'bek nomidagi O'zbekiston Milliy Universiteti
Sahifalar soni:
56
Yaratilgan vaqti:
2021-03-16 11:58:46
"Hozirgi kunda berilgan algebralarning strukturasini o’rganishda, ularning algebraikklassifikatsiyalari bilan birga ularning differesiallashlari, geometrik xossalari
deformatsiyalari ham keng o’rganilmoqda. Geometrik tasnifni ma’nosi shundan iboratki,agar biror algebralarko’pxilligining to’liq tasnifi berilgan bo’lsa, bu algebralarning barchasini orbitalari yoyilmasinitopish masalasi qaraladi."