2019
Том 71
№ 11

# Existence of global solutions for some classes of integral equations

Abstract

We study the existence of $L^p$ -solutions for a class of Hammerstein integral equations and neutral functional differential equations involving abstract Volterra operators. Using compactness-type conditions, we establish the global existence of solutions. In addition, a global existence result for a class of nonlinear Fredholm functional integral equations involving abstract Volterra equations is given.

Citation Example: Agarwal P., Jabeen T., Lupulescu V., O’Regan D. Existence of global solutions for some classes of integral equations // Ukr. Mat. Zh. - 2018. - 70, № 1. - pp. 130-148.