Oleg Zubelevich
Monotone ODE with Discontinuous Vector Fields in 
Sequence Spaces
(370K, pdf)

ABSTRACT.  We consider a system of ODE in a Fr chet space with uncondi- 
tional Schauder basis. The right side of the ODE is a discontinuous function. 
Under certain monotonicity conditions we prove an existence theorem for the 
corresponding initial value problem.