Weakly nonlinear Fredholm integrodifferential equations with degenerate kernel in Banach spaces

• Date: 2025
• Main Authors: Zhuravliov, V., Fomin, M., Журавльов, Валерій, Фомін, Микола
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2025
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7998
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.968.2 We consider weakly nonlinear Fredholm integrodifferential equations  with degenerate kernel in Banach spaces.  Necessary conditions are established for the existence of a solution, which turns into the generating solution for $\varepsilon = 0$.&am...