Two (multi) point nonlinear Lyapunov systems associated with an n th order nonlinear system of differential equations – existence and uniqueness

K. N. Murty, G. W. Howell and G. V. R. L. Sarma

Mathematical Problems in Engineering, 2000, vol. 6, 1-16

Abstract:

This paper presents a criterion for the existence and uniqueness of solutions to two and multipoint boundary value problems associated with an n th 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 n th order Lyapunov system. The results of Barnett ( SIAM J. Appl. Anal. 24(1), 1973) are a particular case.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:805903

DOI: 10.1155/S1024123X00001393

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