论文信息 - Oscillation theorems for second order nonlinear differential equations.

Oscillation theorems for second order nonlinear differential equations.

ABSTRACT. The oscillatory and nonoscillatory behavior of the nonlinear second order differential equation (1) x"+p(t)f(x) =0 is related to that of (2)?, x"+Xp(t)x=O, X>0. Under certain conditions on p(t) and f(x) it is shown that all solutions of (1) are oscillatory if (2)), is oscillatory for all X>0. In contrast to most of the literature on this subject, no sign or integrability conditions on p(t) are explicitly assumed.

Lynn Erbe | L. Erbe

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