Abstract and Applied Analysis
Volume 2004 (2004), Issue 7, Pages 591-602
doi:10.1155/S1085337504306147

Nonuniqueness theorem for a singular Cauchy-Nicoletti problem

Abstract

The problem of nonuniqueness for a singular Cauchy-Nicoletti boundary value problem is studied. The general nonuniqueness theorem ensuring the existence of two different solutions is given such that the estimating expressions are nonlinear, in general, and depend on suitable Lyapunov functions. The applicability of results is illustrated by several examples.