Zamonaviy dunyoda ilm-fan va texnologiya 5-jild logy-son (2026) · 66–70-betlar

SOLVİNG PARTİAL INTEGRAL EQUATİONS FOR FUNCTİONS OF THREE VARİABLES WİTH DEGENERATE KERNELS

Xayrullayev, Ismatulla, Ismatov, Jasurbek

DOI: 10.5281/zenodo.20392736 · Manbada o'qish → · PDF (manba serverida)

Annotatsiya

This paper investigates the problem of solving a linear partial integral equation for functions of three variables with degenerate (separated) kernels. The existence and uniqueness of a continuous solution in the space C[a,b]³ are proved. It is shown that when the kernels are given in separated form, the problem reduces to a single-variable Fredholm integral equation of the second kind, and the solution is expressed explicitly through exact formulas. Additionally, the condition for the homogeneous equation to possess a nontrivial solution is established.

xususiy integral tenglamaajralgan yadroFredgolm integral tenglamasiuch o‘zgaruvchili funksiyayagona yechimbir jinsli tenglamaC[ab]³ fazosi.partial integral equationdegenerate kernel

Metadata manbasi: jurnal OAI-PMH arxivi · Sindex to'liq matnni saqlamaydi, manbaga havola beradi.