2 papers
math.FA2025
Solvability Issues of Two Classes of Quasilinear and Nonlinear Integral Equations with a Sum-Difference Kernel on the Half-Line
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan
This paper investigates two classes of quasilinear and essentially nonlinear integral equations with a sum-difference kernel on the half-line. Such equations arise in various areas…
math.FA2024
Solvability of a System of Nonlinear Integral Equations on the Entire Line
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan
A system of singular integral equations with monotone and concave nonlinearity in the subcritical case is investigated. The specified system and its scalar analog have direct appli…