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http://dx.doi.org/10.14317/jami.2014.807

ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF MATRIX LYAPUNOV INTEGRO DIFFERENTIAL EQUATIONS  

Sarma, Goteti V.R.L. (Department of Mathematics, University of Dodoma)
Hugo, Alfred (Department of Mathematics, University of Dodoma)
Publication Information
Journal of applied mathematics & informatics / v.32, no.5_6, 2014 , pp. 807-816 More about this Journal
Abstract
The asymptotic behavior of solutions of Lyapunov type matrix Volterra integro differential equation, in which the coefficient matrices are not stable, is studied by the method of reduction.
Keywords
Asymptotic stability; Fubini's Theorem; Variation of parameters;
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1 A. Arikoglu and I. Ozkol, Solutions of Integral and Integro-Differential Equation Systems by Using Differential Transform Method, Computers Mathematics with Applications, 56 (2008), 2411-2417   DOI   ScienceOn
2 J. Biazar, Solution of systems of integro-differential equation by Adomian decomposition method, Appl. Math. Comput. 168 (2003), 1232-1238.
3 J. Biazar, H. Ghazvini and M. Eslami, Hes Homotopy perturbation method for systems of integro-differential Equations, Chaos, Solitions and Fractals, 39 (2009), 1253-1258.   DOI   ScienceOn
4 S.I. Grossman and R.K. Miller, Perturbation theory for Volterra Integro Differential system, J. diff. Equs., 8 (1970), 451-474.
5 T.A. Burton, An integro differential equations, Proc. Amer. Math. Soc., 79 (1980), 393-399.
6 T.A. Burton, Stability theory for Volterra equations, J. Diff Equs., 32 (1979), 101-118.   DOI
7 F.C. Hoppensteadt, Mathematical methods of population biology, Cambridge Univ. Press, Cambridge, 1982.
8 V. Lakshmikantham and S.G. Deo, Method of variation of parameters for dynamic systems, Gordon and breach scientific Publishers.
9 J.J. Levin, The asymptotic behaviour of the solutions of a Volterra equation, Proc. Amer. Math. Soc., 14 (1963), 534-541   DOI   ScienceOn
10 K. Maleknejad and M. Tavassoli Kajani, Solving Linear integro-differential equation system by Galerkin methods with Hybrid functions, 159 (2004), 603-612.   DOI   ScienceOn
11 K.N. Murty, M.A.S. Srinivas and V.A. Narasimham, Asymptotic behaviour of solutions of matrix integro differential equations, Tamkang J. Math., 18 (1987), 1-8.
12 T.A. Burton, Uniform stability for Volterra equations, J. Diff Equs., 36 (1980), 40-53.   DOI