In this paper, we shall be concerned with the existence and uniqueness of solution to three- point boundary value problems associated with a system of first order matrix difference system. Shortest and Closest Lattice vector methods are used as a tool to obtain the best least square solution of the three-point boundary value problems when the characteristic matrix D is rectangular. In this paper, we shall be concerned with the existence and uniqueness of solution to three- point boundary value problems associated with a system of first order matrix difference system. Shortest and Closest Lattice vector methods are used as a tool to obtain the best least square solution of the three-point boundary value problems when the characteristic matrix D is rectangular.
References
• E.V. Krishna Murthy & S.S.Sen , theory of computer Science Narosa Publishing House , 1987.
• Anderson James, Automata theory with modern applications , Cambridge University Press, 2006
• Kasi Viswanadh V. Kanuri, K. N. Murty, “Three-Point boundary value problems associated with first order matrix difference system-existence and uniqueness via shortest and closest Lattice vector methods”, Journal of Nonlinear Sciences and Applications, Volume 12, Issue 11, (2019) 720–727
• Kasi Viswanadh V Kanuri, Existence Of Ψ-Bounded Solutions For Fuzzy Dynamical Systems On Time Scales, International Journal of Scientific & Engineering Research, 2020, Vol. 11, No. 5, 613--624.
• Kasi Viswanadh V. Kanuri, R. Suryanarayana, K. N. Murty, Existence of Ψ-bounded solutions for linear differential systems on time scales, Journal of Mathematics and Computer Science, 20 (2020), no. 1, 1--13.
• Murty, K. N., Andreou, S., Viswanadh, K. V. K., Qualitative properties of general first order matrix difference systems. Nonlinear Studies, 16(2009), no. 4, 359-370.
• K. N. Murty, V. V. S. S. S. Balaram, K.V. K. Viswanadh, “Solution of Kronecker Product Initial Value Problems Associated with First Order Difference System via Tensor-based Hardness of the Shortest Vector Problem”, Electronic Modeling, vol. 6, p: 19-33 (2008).
• K.N. Murty, K.V.K. Viswanadh, P. Ramesh, Yan Wu, “Qualitative properties of a system of differential equation involving Kronecker product of matrices”, Nonlinear Studies, Vol 20, No: 3, P: 459--467 (2013)
• K.N. Murty, Yan Wu, Viswanadh V. Kanuri, “Metrics that suit for dichotomy, well conditioning of object oriented design”, Nonlinear Studies, Vol 18, No: 4, P: 621--637 (2013)
• Kasi Viswanadh V Kanuri, Y. Wu, K.N. Murty, “Existence of bounded solution of linear first order Kronecker product of system of differential equations”, International Journal of Science and Engineering Research, 2020, Vol 11, No. 6, P: 721--730.
• Kasi Viswanadh V. Kanuri, K. N. Murty, P. Sailaja, “A New Approach to The Construction of a Transition Matrix with Several Applications to Control System Theory”, AIP Conference Proceedings, ICMM-757, December 2019 (In Press).
• Y. Wu, D.L. Nethi, K.N.Murty, Initial Value Problems Associated With First Order Fuzzy Difference System -Existence And Uniqueness, International Journal of Recent Scientific Research. 11 (2020), no. 3, 37846--37848.
• A.J Wilson .On Varma’s Prey-predator problem bull mate biology Vol 42 PP 599-600 1980.
• L.A.Zadeh, Fuzzy sets and systems, Inf. Control 8,338-353, 1965.
