Two (Multi) Point Nonlinear Lyapunov Systems Associated with an nth Order Nonlinear System of Differential Equations - Existence and Uniqueness

Authors

Kanuri N. Murty
Gary W. Howell
G. V.R.L. Sarma

Document Type

Article

Publication Title

Mathematical Problems in Engineering

Abstract

This paper presents a criterion for the existence and uniqueness of solutions to two and multipoint boundary value problems associated with an nth order nonlinear Lyapunov system. A variation of parameters formula is developed and used as a tool to obtain existence and uniqueness. We discuss solution of the second order problem by the ADI method and develop a fixed point method to find the general solution of the nth order Lyapunov system. The results of Barnett (SIAM J. Appl. Anal. 24(1), 1973) are a particular case.

First Page

395

Last Page

410

Publication Date

2000

Recommended Citation

Murty, K. N., Howell, G. W., & Sarma, G. V. R. L. (2000). Two (multi) point nonlinear lyapunov systems associated with an nth order nonlinear system of differential equations - existence and uniqueness. Mathematical Problems in Engineering, 6(4), 395-410.