TY - JOUR AU - MURTY, M. S. N. AU - ANJANEYULU, D. AU - KUMAR, G. SURESH PY - 2011 TI - CONDITIONING OF THREE-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS JO - Journal of Nonlinear Sciences and Applications SP - 115-125 VL - 4 IS - 2 AB - This paper deals with the study of conditioning for three-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain the close relationship between the stability bounds of the problem on one hand , and the growth behavior of the fundamental matrix solution on the other hand. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.004.02.03 DO - 10.22436/jnsa.004.02.03 ID - MURTY2011 ER - TY - JOUR TI - On dichotomy and well conditioning in boundary value problem AU - F. R. De Hoog AU - R. M. M. Mattheije JO - SIAM J. Numer. Anal. PY - 1987 DA - 1987// VL - 24 ID - Hoog1987 ER - TY - BOOK TI - Kronecker Products and Matrix Calculus AU - A. Graham PB - With Applications, Ellis Horwood Ltd. PY - 1981 DA - 1981// CY - England ID - Graham1981 ER - TY - JOUR TI - On dichotomy and well-conditioning in two-point boundary value problems AU - K. N. Murty AU - P. V. S. Lakshmi JO - Applied Mathematics and Computations PY - 1990 DA - 1990// VL - 38 ID - Murty1990 ER - TY - JOUR TI - On conditioning for three-point boundary value problems AU - M. S. N. Murty AU - B. V. Appa Rao JO - Indian Journal of Mathematics PY - 2003 DA - 2003// VL - 45 ID - Murty2003 ER - TY - JOUR TI - On two point boundary value problems for :X = AX + XB AU - M. S. N. Murty AU - B. V. Appa Rao JO - J. Ultra Scientist of Physical Sciences PY - 2004 DA - 2004// VL - 16 ID - Murty2004 ER - TY - JOUR TI - Controllability, observability and realizability of matrix Lyapunov systems AU - M. S. N. Murty AU - B. V. Appa Rao AU - G. Suresh Kumar JO - Bull. Korean. Math. Soc. PY - 2006 DA - 2006// VL - 43 ID - Murty2006 ER - TY - JOUR TI - On dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems AU - M. S. N. Murty AU - G. Suresh Kumar JO - J. Korean Math. Soc. PY - 2008 DA - 2008// VL - 45 ID - Murty2008 ER -