Conditions for the existence of bounded solutions of nonlinear differential and functional differential equations

• Date: 2010
• Main Authors: Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2914
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $E$ be a finite-dimensional Banach space, let $C^0(R; E)$ be a Banach space of functions continuous and bounded on $R$ and taking values in $E$; let $K:\;C^0(R ,E) → C^0(R, E)$ be a $c$-continuous bounded mapping, let $A:\;E → E$ be a linear continuous mapping, and let $h ∈ C^0(R, E)$. We establ...