Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations
The authors consider the oscillation behavior of solutions to the second-order nonlinear differential equation \[ y''(t)+g(t)f(y(t))g(y'(t))=0,\quad t\geq t_0\in\mathbb{R}.\tag{1} \] Sufficient conditions for the solutions to (1) to be oscillatory are obtained. The authors give two examples to show that their results handle cases which are not covered by known results.
scientific article; zbMATH DE number 1449170
scientific article