Existence of global solutions for some classes of integral equations

• Date: 2018
• Main Authors: Agarwal, P., Jabeen, T., Lupulescu, V., O’Regan, D., Агарвал, Р. П., Ябін, Т., Лупулеску, В., О'Реган, Д.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1546
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...