Extension of Liapunov theory to five-point boundary value problems for third order differential equations


M. S. N. Murty, G. Suresh Kumar




This paper presents criteria for the existence and uniqueness of solutions to five-point boundary value problems associated with third order differential equations by using matching technique. ’Liapunov-like’ functions are used as a tool to establish existence and uniqueness of solutions by matching two three-point boundary value problems.