| Title | STABILITY IN TERMS OF TWO MEASURES FOR PERTURBED DYNAMIC INTEGRO-DIFFERENTIAL EQUATIONS ON TIME SCALES |
| Publication Type | Journal Article |
| Year of Publication | 2009 |
| Authors | AHMAD, BASHIR, SIVASUNDARAM, S |
| Secondary Title | Communications in Applied Analysis |
| Volume | 13 |
| Issue | 1 |
| Start Page | 21 |
| Pagination | 30 |
| Date Published | 01/2009 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 34D20 |
| Abstract | In this paper, we will give a new comparison theorem that connects the solutions of perturbed and unperturbed dynamic systems in terms of two measures on time scales. |
| URL | http://www.acadsol.eu/en/articles/13/1/3.pdf |
| Short Title | STABILITY IN TERMS OF TWO MEASURES |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] B. Kaymakcalan, L. Rangarajan, Variation of Lyapunov’s Method for Dynamic System on Time Scales, J. Math. Anal. Appl., 185 (1994) 356–366.
[2] B. Kaymakcalan, V. Lakshmikantham and S. Sivasundaram, Dynamic Systems on Measure Chains, Kluwer Academic Publishers, Boston, 1996. [3] V. Lakshmikantham, X. Z. Liu, Perturbing Families of Lyapunov Functions and Stability in Terms of Two Measures, J. Math. Anal. Appl., 140 (1989) 107–114. [4] X. Z. Liu, A. S. Vatsala, Variation of Parameters in terms of Lyapunov-like Functions and Stability of Perturbed Systems, Nonlinear Studies, 5 (1998) 47–58. |