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Perturbation method for nonlocal impulsive evolution equations
DOI:10.1016/j.nahs.2012.08.002.png)
摘要
En 中文
This paper deals with the existence of mild solutions for a class of semilinear nonlocal impulsive evolution equations in ordered Banach spaces. The existence and uniqueness theorem of mild solution for the associated linear nonlocal impulsive evolution equation is established. With the aid of the theorem, the existence of mild solutions for nonlinear nonlocal impulsive evolution equation is obtained by using perturbation method and monotone iterative technique. The theorems proved in this paper improve and extend some related results in ordinary differential equations and partial differential equations. Moreover, we present two examples to illustrate the feasibility of our abstract results. (c) 2012 Elsevier Ltd. All rights reserved.
Keyword:
Nonlocal impulsive evolution equation
Lower and upper solutions
Perturbation method
Monotone iterative technique
Mild and classical solutions
C-0-semigroup
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