Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 293410, 15 pages
Research Article

Mixed Monotone Iterative Technique for Abstract Impulsive Evolution Equations in Banach Spaces

Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Received 29 December 2009; Revised 20 July 2010; Accepted 3 September 2010

Academic Editor: Alberto Cabada

Copyright © 2010 He Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By constructing a mixed monotone iterative technique under a new concept of upper and lower solutions, some existence theorems of mild ω-periodic (L-quasi) solutions for abstract impulsive evolution equations are obtained in ordered Banach spaces. These results partially generalize and extend the relevant results in ordinary differential equations and partial differential equations.