论文信息 - NOTE ON A NON-OSCILLATION THEOREM OF ATKINSON

NOTE ON A NON-OSCILLATION THEOREM OF ATKINSON

We present a general non-oscillation criterion for a second order two-term scalar nonlinear dierential equation in the spirit of a classic re- sult by Atkinson (1). The presentation is simpler than most and can serve to unify many such criteria under one common theme that eliminates the need for specfic techniques in each of the classical cases (sublinear, linear, and su- perlinear). As is to be expected in a result of this kind, the applications are widespread and include, but are not limited to, linear, sublinear, superlinear dierential equations as well as some transcendental cases and some possibly mixed cases.

Angelo B. Mingarelli | Samuel G. Dub | A. Mingarelli

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