Stability theory for set differential equations

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 11, Issue 2-3, 2004, Pages 181-189

  Lakshmikantham, V ^a   Leela, S ^a   Devi, J Vasundhara ^a,b  

^a Florida Institute of Technology   (United States)

^b GVP College for Degree and PG Courses   (India)

Author keywords

Set differential equations; Stability

Indexed keywords

EID: 4644352888     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

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3. T. Gnana Bhaskar and V. Lakshmikantham, Set Differential Equations and Flow Invariance, Applicable Analysis 82 (2003), 357-368.
4. T. Gnana Bhaskar and V. Lakshmikantham, Generalized Flow Invariance for Differential Equations, to appear.
5. T. Gnana Bhaskar and V. Lakshmikantham, Lyapunov Stability for Set Differential Equations, to appear.
6. T. Gnana Bhaskar and V. Lakshmikantham, Generalized Proximal Normals and Flow Invariance for Differential Inclusions, Nonlinear Studies, to appear.
7. T. Gnana Bhaskar and V. Lakshmikantham, Generalized Proximal Normals and Lyapunov Stability, to appear.
8. M. Hukuhara, Sur l'aplication Semicontinue Dont la Valeur est un Compact Convexe, Funkcial Ekvac, 10 (1967), 43-68.
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10. V. Laksmikantham and S. Leela, Differential and Integral Inequalities, Vol. I, Academic Press, New York, 1969.
11. V. Laksmikantham, S. Leela and A. S. Vatsala, Setvalued Hybrid Differential Equations and Stability in Terms of Two Measures, Journal of Hybrid Systems, 2 (2002), 169-187.
12. V. Laksmikantham, S. Leela and A. S. Vatsala, Interconnection between Set and Fuzzy Differential Equations, Nonlinear Analysis, 54 (2003), 351-360.
13. V. Laksmikantham and A. Tolstonogov, Existance and Interrelation between Set and Fuzzy Differential Equations, Nonlinear Analysis, to appear.
14. A. Tolstonogov, Differential Inclusions in a Banach Space, Kluwer Academic Publishers, Dordrecht, 2000.