Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces
Author
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper deals with the existence and uniqueness of mild solutions for the initial value problems of abstract impulsive evolution equations in an ordered Banach space E:u′(t)+Au(t)=f(t,u(t),Gu(t)), t∈[0,a], t≠tk, Δu|t=tk=Ik(u(tk)), 0 Under wide monotone conditions and measure of noncompactness conditions of nonlinearity f, some existence and uniqueness results are obtained by using a monotone iterative technique in the presence of lower and upper solutions.
American Psychological Association (APA)
Yang, He. 2010. Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-475028
Modern Language Association (MLA)
Yang, He. Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces. Abstract and Applied Analysis No. 2010 (2010), pp.1-11.
https://search.emarefa.net/detail/BIM-475028
American Medical Association (AMA)
Yang, He. Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-475028
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475028