Geodesic
Positive and negative solutions of impulsive functional differential equations
Ding, Yanhui1 ; Chen, Min2
1 School of Information Science and Engineering, Shandong Normal University, Ji’nan, 250014, P. R. China
2 Zaozhuang Urban Utilities and Landscaping Bureau, Shandong, 277800, P. R. China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 3, p. 922-928.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.03.05
Classification : 34K20, 34K45
Keywords: Impulsive functional differential equations (IFDEs), global existence, Lyapunov-Razumikhin method, positive solution, negative solution.

Ding, Yanhui 1 ; Chen, Min 2

1 School of Information Science and Engineering, Shandong Normal University, Ji’nan, 250014, P. R. China
2 Zaozhuang Urban Utilities and Landscaping Bureau, Shandong, 277800, P. R. China 
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Ding, Yanhui; Chen, Min. Positive and negative solutions of impulsive functional differential equations. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 3, p. 922-928. doi : 10.22436/jnsa.010.03.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.03.05/

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