Positive and negative solutions of impulsive functional differential equations
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Authors
Yanhui Ding
- School of Information Science and Engineering, Shandong Normal University, Ji’nan, 250014, P. R. China.
Min Chen
- Zaozhuang Urban Utilities and Landscaping Bureau, Shandong, 277800, P. R. China.
Abstract
This paper considers the global existence of positive and negative solutions for impulsive functional differential equations
(IFDEs). First, we introduce the concept of "-unstability to IFDEs and establish some sufficient conditions to guarantee the
"-unstability via Lyapunov-Razumikhin method. Based on the obtained results, we present some sufficient conditions for the
global existence of positive and negative solutions of IFDEs. An example is also given to demonstrate the effectiveness of the
results.
Share and Cite
ISRP Style
Yanhui Ding, Min Chen, Positive and negative solutions of impulsive functional differential equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 922--928
AMA Style
Ding Yanhui, Chen Min, Positive and negative solutions of impulsive functional differential equations. J. Nonlinear Sci. Appl. (2017); 10(3):922--928
Chicago/Turabian Style
Ding, Yanhui, Chen, Min. "Positive and negative solutions of impulsive functional differential equations." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 922--928
Keywords
- Impulsive functional differential equations (IFDEs)
- global existence
- Lyapunov-Razumikhin method
- positive solution
- negative solution.
MSC
References
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