On the theory of integral manifolds for some delayed partial differential equations with nondense domain

• Date: 2020
• Main Author: Jendoubi, C.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6020
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 Integral manifolds are very useful in studying dynamics of nonlinear evolution equations. In this paper, we consider the nondensely-defined partial differential equation $$\frac{du}{dt}=(A+B(t))u(t)+f(t,u_t),\quad t\in\mathbb{R},\tag{1}$$ where $(A,D(A))$ satisfies the Hille–Yosida conditi...