EXTREMAL SOLUTIONS AND CONTINUOUS DEPENDENCE FOR SET DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS WITH MEMORY

TitleEXTREMAL SOLUTIONS AND CONTINUOUS DEPENDENCE FOR SET DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS WITH MEMORY
Publication TypeJournal Article
Year of Publication2011
AuthorsJ. DEVI, VASUNDHARA
Secondary TitleCommunications in Applied Analysis
Volume15
Issue1
Start Page113
Pagination124
Date Published01/2011
Type of Workscientific: mathematics
ISSN1083–2564
AMS39A10, 39A99
Abstract
In this paper we proceed to present results pertaining to extremal solutions and continuous dependence of solutions with respect to initial values and a parameter for set differential equations involving causal operators with memory.
URLhttp://www.acadsol.eu/en/articles/15/1/9.pdf
Short TitleSET DIFFERENTIAL EQUATIONS INVOLVING CAUSAL OPERATORS
Refereed DesignationRefereed
Full Text

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, 2006.
[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 Non Linear Analysis, TMA.
[7] J.Vasundhara Devi, Existence, Uniqueness Results for Solutions of Set Differential Equations involving Causal Operators with Memory accepted in EJPAM