Global analyticity of solutions of nonlinear functional differential equations representable by Dirichlet series

• Date: 2006
• Main Authors: Murovtsev, A. N., Муровцев, А. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3529
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We show that, under certain additional assumptions, analytic solutions of sufficiently general nonlinear functional differential equations are representable by Dirichlet series of unique structure on the entire real axis $\mathbb{R}$ and, in some cases, on the entire complex plane $\mathbb{C}$. We i...