On oscillation of half-linear functional differential equations (Q2784730)

Here, the author considers oscillation and asymptotic properties of the generalized second-order functional-differential equation \((r(t)\phi(x'(t)))'+F(t,x(g(t)))=f(t).\) Some new equations are presented to illustrate the results. For example, all solutions to the following equations NEWLINE\[NEWLINE ((x'(t))^{\frac{1}{3}})'-\frac{1}{t^2}(x(t-\pi))^{\frac{1}{3}}=t\sin t NEWLINE\]NEWLINE and NEWLINE\[NEWLINE ((x'(t))^{\frac{1}{3}})'-\sin t(x(t+\pi))^{\frac{1}{3}}=t\sin t NEWLINE\]NEWLINE are oscillatory.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00016].