The goal of this paper is to discuss the implications of the behavior properties from classical analysis (positivity, monotonicity, convexity, convexity of high order) [PE72], [PT44], [Pr85], into the qualitative theory of ordinary differential equations. We survey our own results concerning this subject in connection with other contributions in literature.
Babes-Bolyai University, Cluj-Napoca, Romania
R. Precup, Behavior properties and ordinary differential equations, Conference on Analysis, Functional Equations, Approximation and Convexity in Honour of Professor Elena Popoviciu, Cluj-Napoca, October 1999, 257-263.
Conference on analysis Functional Equations Approximation and Convexity Cluj-Napoca
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