Volterra functional integral equation of the first kind with nonlinear right-hand side and variable limits of integration

• Date: 2006
• Main Authors: Artykova, J. A., Yuldashev, T. K., Артикова, Й. А., Юлдашев, Т. К.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3530
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove a theorem on the existence and uniqueness of a solution of a Volterra functional integral equation of the first kind with nonlinear right-hand side and nonlinear deviation. We use the method of successive approximations combined with the method of contracting mappings.