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Vol. 10 No. 10 (2023)
Volume 10 Issue 10

Articles

INTEGRAL EQUATION OF HAMMERSTEIN'S TYPE WITH DEGENERATE KERNEL

Published 2023-11-06

  • 1Khalilov Akbar Zamirovich, 2Shodiyev Sardor Zokir o‘g‘li

1Khalilov Akbar Zamirovich, 2Shodiyev Sardor Zokir o‘g‘li
1Department of mathematical analysis and differential equations, Karshi state university 2Student of Karshi state university

Abstract

In this paper the existence positive solution of the integral equation of Hammerstein type with degenerate kernel are discussed. We show how to find positive fixed points of a separable Hammerstein integral operator with a kernel to find positive solutions of a system of nonlinear algebraic equations in three unknowns.

Keywords

Cone, continuous functions, integral equation, Hammerstein's operator, fixed point, system of nonlinear algebraic equations.

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