
RESULTS
Among the results I have obtained, I mention: 1. Every ultimately bounded Tperiodic system in R^n : x'(t)= f(t,x(t)) is uniformly bounded, uniform ultimately bounded and admits a Tperiodic solution (i.e. the system has harmonic oscillations). One assumes that the function f = f(t,x) is continuos on R^2 and guarantees the existence and uniqueness of the solution to the Cauchy problem for system. 2. I have introduced the notion of weak ultimately bounded systems. 3. Let X be an infinitedimensional Banach space and let K be a closed
cone with nonempty interior. If A is a completely continuous
operator from X into itself ( A non identically zero)
(To be completed asap.!)
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