Three-Point boundary value problems associated with first order matrix difference system-existence and uniqueness via shortest and closest Lattice vector methods

Volume 12, Issue 11, pp 720--727 http://dx.doi.org/10.22436/jnsa.012.11.03
Publication Date: June 19, 2019 Submission Date: April 19, 2019 Revision Date: May 14, 2019 Accteptance Date: May 28, 2019

Authors

Kasi Viswanadh V. Kanuri - 3669 Leatherwood,, Dr. Frisco, TX 75033, USA. K. N. Murty - Department of Applied Mathematics, Andhra University, Waltair (A.P), 530017, India.


Abstract

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 problem when the characteristic matrix D is rectangular. An efficient decode algorithm is presented to find the shortest and closest vector and prove that this vector is the best least square solution of the three-point boundary value problem.


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ISRP Style

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, 12 (2019), no. 11, 720--727

AMA Style

Kanuri Kasi Viswanadh V., Murty K. N., Three-Point boundary value problems associated with first order matrix difference system-existence and uniqueness via shortest and closest Lattice vector methods. J. Nonlinear Sci. Appl. (2019); 12(11):720--727

Chicago/Turabian Style

Kanuri, Kasi Viswanadh V., Murty, K. N.. "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, 12, no. 11 (2019): 720--727


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