A Counterexample in Nonlinear Boundary Value Problems

J. W. Heidel
1972 Proceedings of the American Mathematical Society  
For the boundary value problem (1.1), (1.2) below where initial value problems of (1.1) are unique and exist on (a, b) it is known that global uniqueness on (a, b) implies global existence on (a, ¿>) if ßo=0. It is also known that this is false if ßo^O and <x<5-ßy=0. It is shown here by example that this is also false if ßo?iOand<xo-ßy*0.
doi:10.2307/2037913 fatcat:5x6cacz77jg6dlt23rw5ok3rvy