Positive Solutions for Impulsive Differential Equations with Mixed Monotonicity and Optimal Control

Joint Authors

Guo, Rui
Zhang, Lingling
Yamazaki, Noriaki

Source

Abstract and Applied Analysis

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

Mathematics

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