Positive and negative solutions of impulsive functional differential equations

Volume 10, Issue 3, pp 922--928 http://dx.doi.org/10.22436/jnsa.010.03.05

Publication Date: March 20, 2017 Submission Date: November 21, 2016

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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.

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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

34K20
34K45

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