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Stability Results for Set Differential Equations Involving Causal Operators with Memory

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2012

Key Words:

Author Name

AMS Codes:

Abstract (2. Language): 
In this paper we study the stability concepts for set differential equations involving causal operators with memory by considering initial functions as a Hukuhara difference of two functions. This will enable to obtain results parallel to ordinary differential equations with delay.
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  • 2
187-196
  • English

REFERENCES

References: 

[1] Z Drici, F McRae, J Devi. Stability Results for Set Differential Equations with Causal
maps, Dynamic Systems and Applications 1S. 451-464. 2006.
[2] V Lakshmikantham and R Mohan. Theory of Integro Differential equations, Gordan
and Breach Science Publishers, Amsterdam, 1995.
[3] M Lakshmikantham and S Leela. Differential and Integral Inequalities, Vol.I and II ,
Academic press, Newyork, 1969.
[4] V Lakshmikantham, T GnanaBhaskar and J Devi. Theory of Set Differential Equations
in Metric Spaces, Cambridge Scientific Publishers, 2006.

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