Oscillation of third-order nonlinear delay differential equations. (English) Zbl 1286.34099

Zhang, Chenghui; Agarwal, Ravi P.; Bohner, Martin; Li, Tongxing

Taiwanese J. Math. 17, No. 2, 545-558 (2013).

The authors consider the third order nonlinear differential equation \[ (a(t)(b(t)y'(t))')'+q(t)y^{\gamma}(\tau(t))=0 \] to develop some oscillation criteria. These results are achieved by transforming this equation into a first order delayed and advanced differential equation. Two examples along with a corollary are given for these new results.

Reviewer: R. S. Dahiya (Ames)

MSC:

34K11

Oscillation theory of functional-differential equations

Keywords:

third-order nonlinear equation; delay differential equation; oscillatory solution