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Existence, Uniqueness of solutions for Set Differential Equations Involving Causal Operators with Memory

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2010

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Author Name

AMS Codes:

Abstract (2. Language): 
In this paper, we obtain existence and uniqueness results of IVP for set differential equations involving causal operators with memory. This paper is 2nd in sequel. In the first one we obtained inequality results and existence results for set causal operators involving memory.
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  • English

REFERENCES

References: 

[1] C.Corduneanu, Functional Equations with Causal Operators, Taylor and Francis,
Newyork (2003).
[2] V.Lakshmikantham and S.Leela, Differential and Integral Inequalities, Vol.I and II , Academic
press, Newyork, (1969).
[3] V.Lakshmikantham and S.Leela, Z.Drici and McRae FA, Theory of Causal Differential
Equations, Atlantis Press and World Scientific, (2009).
[4] V.Lakshmikantham, T.GnanaBhaskar and J.Vasundhara Devi, Theory of Set Differential
Equations in Metric Spaces, Cambridge Scientific Publishers, 2(006).
[5] V.Lakshmikantham and M.Rama Mohan Rao, Theory of Integro Differential equations,
Gordan and Breach Science Publishers,Amsterdam, (1995).
[6] J.Vasundhra Devi, Comparison Theorems and Existence Results for Set Causal Operators
with Memory submitted to NonLinear Analysis, TMA.

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