Dynamic Systems and Applications 12(1-2), 2003, 131-148 ASYMPTOTIC BEHAVIOR OF NATURAL GROWTH ON TIME SCALES
نویسنده
چکیده
The asymptotic behavior of x = px is explored, with specific reference given to how the graininess of the time scale affects stability. In addition we prove a Perron type theorem for dynamic equations on time scales. The theorem gives sufficient conditions for exponential asymptotic stability of a critical point of an almost linear dynamic equation. Application to the dynamic logistic equation is given. AMS (MOS) Subject Classification. 39A10.
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