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- Title
Monotone Iterative Technique of Periodic Solutions for Impulsive Evolution Equations in Banach Space.
- Authors
Ya-bin Shao; Huan-huan Zhang
- Abstract
In this paper, we discuss the problem of impulsive evolution equation in an ordered Banach space. Under impulsive function satisfied ordered conditions, and under compact semigroup, or noncompactness measure, or normal cone, we obtained the existence of ω-periodic mild solutions for impulsive evolution equation by using the monotone iterative technique. The results improve and extend the evolution equations without impulse and some relevant results in ordinary differential equations.
- Subjects
MONOTONE operators; ITERATIVE methods (Mathematics); NUMERICAL solutions to evolution equations; BANACH spaces; PROBLEM solving; ORDINARY differential equations
- Publication
Journal of Computational Analysis & Applications, 2014, Vol 17, Issue 1, p48
- ISSN
1521-1398
- Publication type
Article