About one of the problems of integral geometry in a strip on a family of broken lines

Uteuliev, N.U., Djaykov, G.M., Yadgarov, Sh.A.

Ilim ha’m ja’miyet · 2019-yil

Annotatsiya

The article deals with the study of problems of integral geometry in a strip on a family of broken lines with a given weight function of a general form. The theorems of uniqueness and existence for the solution of the task are proved; an analytic representation of the solution in the class of smooth finite functions is obtained. An estimate of the solution of the task in Sobolev spaces is presented, from which its weak incorrectness follows. The obtained theoretical results are investigated by experimental data. The numerical and graphical results of applying these algorithms to the solution of the task are given. Such task have numerous applications in the mathematical study of the problems of seismic prospecting, the interpretation of geophysical and aerospace observations, in solving inverse task of astrophysics and hydro acoustics.

Maqola ma’lumotlari
MualliflarUteuliev, N.U., Djaykov, G.M., Yadgarov, Sh.A.
JurnalIlim ha’m ja’miyet
NashriyotНукус давлат педагогика институти
ISSN2010-720x, 2181-1555
Nashr sanasi2019-09-10
Son4-1
Betlar24-26
TilIngliz
Ilmiy sohaFizika-matematika
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

интеграл геометрия масаласи, тиклаш, турғунлик баҳоси, Лаплас акслантириши Фурье акслантириши, задача интегральной геометрии, обратные задачи, некорректные задачи, численное решение, преобразование Фурье, problem of integral geometry, inverse tasks, ill-posed tasks, numerical solution, Fourier transformation

Ilmiy soha

Fizika-matematika

Iqtibos keltirish

APAUteuliev, N.U., Djaykov, G.M., & Yadgarov, Sh.A. (2019). ABOUT ONE OF THE PROBLEMS OF INTEGRAL GEOMETRY IN A STRIP ON A FAMILY OF BROKEN LINES. Ilim ha’m ja’miyet, (4-1), 24-26. https://journal.ndpi.uz/index/article/view/2019-4-1-010
GOST (OAK)Uteuliev, N.U., Djaykov, G.M., Yadgarov, Sh.A. ABOUT ONE OF THE PROBLEMS OF INTEGRAL GEOMETRY IN A STRIP ON A FAMILY OF BROKEN LINES // Ilim ha’m ja’miyet. – 2019. – № 4-1. – P. 24-26.
MLAUteuliev, N.U., Djaykov, G.M., and Yadgarov, Sh.A. “ABOUT ONE OF THE PROBLEMS OF INTEGRAL GEOMETRY IN A STRIP ON A FAMILY OF BROKEN LINES.” Ilim ha’m ja’miyet, (4-1), 24-26, 2019. https://journal.ndpi.uz/index/article/view/2019-4-1-010
ChicagoUteuliev, N.U., Djaykov, G.M., and Yadgarov, Sh.A. “ABOUT ONE OF THE PROBLEMS OF INTEGRAL GEOMETRY IN A STRIP ON A FAMILY OF BROKEN LINES.” Ilim ha’m ja’miyet, (4-1), 24-26 (2019). https://journal.ndpi.uz/index/article/view/2019-4-1-010
HarvardUteuliev, N.U., Djaykov, G.M., and Yadgarov, Sh.A (2019) ‘ABOUT ONE OF THE PROBLEMS OF INTEGRAL GEOMETRY IN A STRIP ON A FAMILY OF BROKEN LINES’, Ilim ha’m ja’miyet, (4-1), 24-26. https://journal.ndpi.uz/index/article/view/2019-4-1-010
BibTeX
@article{uteulievnu2019,
  title = {ABOUT ONE OF THE PROBLEMS OF INTEGRAL GEOMETRY IN A STRIP ON A FAMILY OF BROKEN LINES},
  author = {Uteuliev, N.U. and Djaykov, G.M. and Yadgarov, Sh.A.},
  journal = {Ilim ha’m ja’miyet},
  year = {2019},
  number = {4-1},
  pages = {24-26},
  url = {https://journal.ndpi.uz/index/article/view/2019-4-1-010}
}

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