Global solutions of nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces |
| |
Authors: | Xinguang Zhang Lishan Liu Yonghong Wu |
| |
Institution: | 1. Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, People’s Republic of China;2. Department of Mathematics and Informational Science, Yantai University, Yantai 264005, Shandong, People’s Republic of China;3. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia |
| |
Abstract: | In this paper, by using the generalization of Darbo’s fixed point theorem, we establish the existence of global solutions of an initial value problem for a class of second-order impulsive integro-differential equations of mixed type in a real Banach space. Our results generalize and improve on the results of Guo et al. F. Guo, L.S. Liu, Y.H. Wu, P. Siew, Global solutions of initial value problems for nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces, Nonlinear Anal. 61 (2005) 1363–1382] in the sense that the conditions for existence of global solution in our theorem is simpler and less strict. To demonstrate the application of the theorem, we give the global solutions of two mixed boundary value problems for two classes of fourth order impulsive integro-differential equations. |
| |
Keywords: | 45J05 34K30 |
本文献已被 ScienceDirect 等数据库收录! |
|