Interval extension structure basic types of solutions of boundary value problems for linear partial differential equations of the second order

Nazirov prof., Shodmankul, Muminov, Bahodir Boltayevich

ТАТУ хабарлари · 2018-yil

Annotatsiya

. In this article, the interval expansion of the structure of solving basic types of boundary value problems for partial differential equations of the second order of making the basic operations that compose interval arithmetic is developed. For the differential equation (1) of the type, when constructing the interval expansion of the structure of the formula, structural formulas were used to construct with the Rfunction method and 4 problems were studied — the Dirichlet problem, the Neumann problem, the third type problem, the mixed boundary conditions problem. For the Dirichlet problem, the solution is an interval expansion of the structure in the form (5), where 𝑃 = {𝜔𝛷 , 𝜔𝛷̅, 𝜔̅𝛷, 𝜔̅𝛷̅} и [ 𝛷, 𝛷̅]is an indefinite interval function. For the Neumann problem, a solution is solved in the interval extension of the structure, [ 𝛷1, 𝛷1̅̅̅̅], [ 𝛷2, 𝛷2̅̅̅̅] is an indefinite interval function and 𝐷1 is a differential operator of the form. For the problem of the third type, the solution is solved in the interval extension of the structure, [ 𝛷1, 𝛷1̅̅̅̅], [𝛷2, 𝛷2̅̅̅̅] -indefinite, interval function, 𝐷1 - differential operator of the form (9). For the problem, mixed boundary conditions are treated. The solution In the interval extension of the structure,[ 𝛷1, 𝛷1], [ 𝛷2, 𝛷2̅̅̅̅] is an indefinite interval function and 𝐷1 is a differential operator of the form.

Maqola ma’lumotlari
MualliflarNazirov prof., Shodmankul, Muminov, Bahodir Boltayevich
JurnalТАТУ хабарлари
NashriyotТошкент ахборот технологиялари университети
ISSN2010-9857, 2181-1083
Nashr sanasi2018-09-20
Betlar10-14
TilIngliz
Ilmiy sohaTexnika
DOI10.51348/tuitmct122
Indeksga qo‘shilgan2026-09-02

DOI: 10.51348/tuitmct122 · Maqolaning asl sahifasi

Ilmiy soha

Texnika

Iqtibos keltirish

APANazirov prof., Shodmankul, & Muminov, Bahodir Boltayevich (2018). INTERVAL EXTENSION STRUCTURE BASIC TYPES OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER. ТАТУ хабарлари, 10-14. https://doi.org/10.51348/tuitmct122
GOST (OAK)Nazirov prof., Shodmankul, Muminov, Bahodir Boltayevich INTERVAL EXTENSION STRUCTURE BASIC TYPES OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER // ТАТУ хабарлари. – 2018. – P. 10-14. – DOI: 10.51348/tuitmct122.
MLANazirov prof., Shodmankul, and Muminov, Bahodir Boltayevich. “INTERVAL EXTENSION STRUCTURE BASIC TYPES OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER.” ТАТУ хабарлари, 10-14, 2018. https://doi.org/10.51348/tuitmct122
ChicagoNazirov prof., Shodmankul, and Muminov, Bahodir Boltayevich. “INTERVAL EXTENSION STRUCTURE BASIC TYPES OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER.” ТАТУ хабарлари, 10-14 (2018). https://doi.org/10.51348/tuitmct122
HarvardNazirov prof., Shodmankul, and Muminov, Bahodir Boltayevich (2018) ‘INTERVAL EXTENSION STRUCTURE BASIC TYPES OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER’, ТАТУ хабарлари, 10-14. https://doi.org/10.51348/tuitmct122
BibTeX
@article{nazirovprofshodmankul2018,
  title = {INTERVAL EXTENSION STRUCTURE BASIC TYPES OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER},
  author = {Nazirov prof., Shodmankul and Muminov, Bahodir Boltayevich},
  journal = {ТАТУ хабарлари},
  year = {2018},
  pages = {10-14},
  doi = {10.51348/tuitmct122},
  url = {https://doi.org/10.51348/tuitmct122}
}

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