A Study of Solutions of Some Nonlinear Integral Equations in the Space of Functions of Bounded Second Variation in the Sense of Shiba

In this paper, we study the existence and uniqueness of solutions for nonlinear Hammerstein, Volterra–Hammerstein, and Volterra equations in the space of functions of bounded second variation in the sense of Shiba, (Λp2BV[a,b])\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\Lambda _{p}^{2}BV\left( [a,b]\right) )$$\end{document}.