Kronecker Product of Matrices and Applications to Two-Point Boundary Value Problems Associated With First Order Matrix Difference Systems

Authors

  • Sriram Bhagavathula Cinnamon Bay series Inc., India
  • P. Sailaja Department of Mathematics, Geethanjali College of Engineering and Technology, Hyderabad., India
  • K.N. Murty Department of Applied Mathematics, Andhra University, Waltair. Visakhapatnam, India

This paper presents a criteria for the existence and uniqueness of solutions to two-point boundary value problems associated with a system of Kronecker product first order differential equation. Some of the natural questions on Kronecker product of matrices about seemingly“simple” cases are still unansweredin spite of their increasing interest and hence some significant results on Kronecker product of matrices are answered in this paper. We mainly explain a set of necessary and sufficient conditions on the decomposition of a matrix into Kronecker product of two matrices.