One class of solutions of Volterra equations with regular singularity

• Date: 1997
• Main Authors: Krein, S. G., Sapronov, I. V., Крейн, С. Г., Сапронов, І. В.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5015
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The Volterra integral equation of the second order with a regular singularity is considered. Under the conditions that a kernel K(x,t) is a real matrix function of order n×n with continuous partial derivatives up to order N+1 inclusively and K(0,0) has complex eigenvalues ν±i μ (ν>0), it is s...