On the existence and asymptotic behaviour of solutions of an evolution equation and an application to the Feynman-Kac theorem |
| |
Authors: | L. Olszowy S. W?drychowicz |
| |
Affiliation: | Department of Mathematics, Rzeszów University of Technology, W.Pola 2, 35-959 Rzeszów, Poland |
| |
Abstract: | In this paper, we study the existence of mild solutions of a semilinear evolution equation on an unbounded interval. The rapidity of the growth of those solutions is characterized. Moreover, we investigate the local and global attractivity of solutions of an equation in question and we describe their asymptotic behaviour. Our investigations are conducted in a real separable Banach space. |
| |
Keywords: | primary, 34K30 secondary, 35K10 |
本文献已被 ScienceDirect 等数据库收录! |