TY - JOUR AU - P. Agarwal AU - T. Jabeen AU - V. Lupulescu AU - D. O’Regan PY - 2018/01/25 Y2 - 2024/03/29 TI - Existence of global solutions for some classes of integral equations JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 70 IS - 1 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1546 AB - We study the existence of $L^p$ -solutions for a class of Hammerstein integral equations and neutral functional differentialequations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence ofsolutions. In addition, a global existence result for a class of nonlinear Fredholm functional integral equations involvingabstract Volterra equations is given. ER -