| Title | BASIC RESULTS AND STABILITY CRITERIA FOR SET VALUED DIFFERENTIAL EQUATIONS ON TIME SCALES |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | AHMAD, BASHIR, SIVASUNDARAM, S |
| Secondary Title | Communications in Applied Analysis |
| Volume | 11 |
| Issue | 3 |
| Start Page | 419 |
| Pagination | 428 |
| Date Published | 08/2007 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| Abstract | We develop some basic results for set valued differential equations on time scales. Sufficient conditions for the stability of the trivial solution of set valued differential equations on time scales are also discussed.
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| URL | http://www.acadsol.eu/en/articles/11/3/6.pdf |
| Short Title | DIFFERENTIAL EQUATIONS ON TIME SCALES |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] V. Lakshmikantham, B. Kymackcalan, S. Sivasundaram, Dynamic Systems on Measure Chains, Kluwer Scientific Publications, 1996.
[2] V. Lakshmikantham, B. Gnana, J. V. Devi, Theory of Set-differential equations in Metric Spaces, Cambridge Scientific, 2005. [3] V. Lakshmikantham, S. Leela, A. S. Vatsala, Stability theory for differential equations, Dyn. Contin. Discrete Impuls. Syst. 11(2004) 181–189. [4] V. Lakshmikantham, S. Leela, A. S. Vatsala, Setvalued hybrid differential equations and stability in terms of two measures, J. Hybrid Systems 2(2002) 169–187. [5] J. V. Devi, Basic results in set differential equations, Nonlinear Stud. 10(2003), 259-272. [6] F. A. Mcrae, J. V. Devi, Impulsive set differential equations with delay, Applicable Anal. 84(2005) 329–341. [7] B. Ahmad, S. Sivasundaram, Dynamics and stability of impulsive hybrid setvalued integrodifferential equations with delay, Nonlinear Anal. 65(2006) 2082–2093. [8] W. T. Girton, Set-valued differential equations on time scales, Ph.D. Thesis, Florida Institute of Technology, Melbourne, Florida, 2006. [9] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Vol. I, Academic Press, New York, 1969. |