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Positive Solutions for Impulsive Differential Equations with Mixed Monotonicity and Optimal Control
Joint Authors
Guo, Rui
Zhang, Lingling
Yamazaki, Noriaki
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider positive solutions and optimal control problem for a second order impulsive differential equation with mixed monotone terms.
Firstly, by using a fixed point theorem of mixed monotone operator, we study positive solutions of the boundary value problem for impulsive differential equations with mixed monotone terms, and sufficient conditions for existence and uniqueness of positive solutions will be established.
Also, we study positive solutions of the initial value problem for our system.
Moreover, we investigate the control problem of positive solutions to our equations, and then, we prove the existence of an optimal control and its stability.
In addition, related examples will be given for illustrations.
American Psychological Association (APA)
Zhang, Lingling& Yamazaki, Noriaki& Guo, Rui. 2014. Positive Solutions for Impulsive Differential Equations with Mixed Monotonicity and Optimal Control. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1015186
Modern Language Association (MLA)
Zhang, Lingling…[et al.]. Positive Solutions for Impulsive Differential Equations with Mixed Monotonicity and Optimal Control. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1015186
American Medical Association (AMA)
Zhang, Lingling& Yamazaki, Noriaki& Guo, Rui. Positive Solutions for Impulsive Differential Equations with Mixed Monotonicity and Optimal Control. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1015186
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015186