Oscillation theorems for a second order sublinear ordinary differential equation

Kura, Takeshi

doi:10.1090/S0002-9939-1982-0643744-8

Oscillation theorems for a second order sublinear ordinary differential equation
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Proc. Amer. Math. Soc. 84 (1982), 535-538 Request permission

Abstract:

New oscillation criteria are given for the differential equation \[ u'' + a(t)|u{|^\alpha }\operatorname {sgn} u = 0,\quad 0 < \alpha < 1,\] where $a(t)$ is allowed to take on negative values for arbitrarily large $t$.

References

Oscillatory solutions of certain nonlinear differential equations of the second order

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