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53-66

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- Department of Mathematics, Faculty of Science, Sabratha University, Sabratha, Libya

References

- [1] I. K. Dassios, On non-homogeneous linear generalized linear discrete time systems, Circuits Systems and Signal Processing, 31 (2012) 1699-1712
- [2] I. Dassios, G. Kalogeropoulos. On a non-homogeneous singular linear discrete time system with a singular matrix pencil. Circuits Syst Signal Process, 32 (2013) 1615-1635
- [3] I. K. Dassios, On a boundary value problem of a class of generalized linear discrete-time systems, Advances in Difference Equations, 2011: 51 (2011)
- [4] A. A. Soliman, Stability analysis of difference systems via cone valued Liapunov`s function method, J. Math. Kyoto Univ. 46 (2006) 65-74.
- [5] S. Zhang, Stability analysis of delay difference systems, Comput. Math. Appl. 33 (1997) 41-52.
- [6] P. K. Anh, L. C. Loi, On multipoint boundary-value problems for linear implicit non-autonomous systems of difference equations, Vietnam of Mathematics, 29 (2001) 281-286
- [7] C. Peng, Z. Cheng-Hui, Indefinite linear quadratic optimal control problem for singular linear discrete-time system: Krein space method. Acta Automatica Sinica 33 (2007) 635-639
- [8] I. K. Dassios, D. I. Baleanu, On a singular system of fractional nabla difference equations with boundary conditions, Boundary Value Problems, 2013: 148 (2013)
- [9] I. K. Dassios, On stability and state feedback stabilization of singular linear matrix difference equations, Advances in Differential Equations, 2012: 75 (2012)
- [10] S. L. Campbell, Limit Behavior of Solutions of Difference Equations, Linear Algebra and its Applications, 23 (1979) 167-178
- [11] P. K. Anh, H. T. N. Yen, On the Solvability of Initial-Value Problems for Nonlinear Implicit Difference Equations. Advances in Difference Equations volume 2004, Article number: 390451 (2004)
- [12] P. K. Anh, N. H. Du, and L. C. Loi, Connections Between Implicit Difference Equations and Differential -Algebraic Equations. Acta Mathematica Vietnamica 29 (2004) 23-39
- [13] P. K. Anh, D. S. Hoang, Stability of a Class of Singular Difference Equations, International Journal of Difference Equations, 1 (2006) 181-193
- [14] P. K. Anh, N. H. Du, and L. C. Loi, Singular Difference Equations: An Overview, Vietnam Journal of Mathematics, 35 (2007) 339-372
- [15] S. Hristova, A. Golev, K. Stefanova, Quasilinearization of the initial value problems for difference equations with "maxima". J. Appl. Math. 2012 (2012), 17 pages.
- [16] A. M. Kanan, K. Hassan, Solution of linear systems of differential equations with singular constant coefficients by the Drazin inverse of matrices, World Scientific News 137 (2019) 229-236
- [17] S. L. Campbell, C. D. Meyer, Jr., and N. J. Rose, Applications of the Drazin inverse to Linear Systems of differential equations with Singular Constant Coeffficients, SIAM J. Appl. Math. 31 (1976) 411-425
- [18] P. Wang, X. Liu, The quadratic convergence of approximate solutions for singular difference systems of differential equations with "maxima". J. Math. Computer Sci. 16 (2016) 227-238
- [19] P. Wang, X. Liu, T. Li, The rapid convergence for nonlinear singular differential systems with "maxima", J. Nonlinear Sci. Appl. 10 (2017) 5402-5421
- [20] S. L. Campbell, The Drazin inverses of an infinite matrix, SIAM J. Appl. Math. 31 (1976) 492-503

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bwmeta1.element.psjd-899e5c2d-03db-4804-bc1c-6e5682532ff6