کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844482 | 908595 | 2007 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Global solutions of nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces Global solutions of nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces](/preview/png/844482.png)
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.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 8, 15 October 2007, Pages 2335–2349