Oscillation of even order linear functional differential equations with deviating arguments of mixed type (Q798499)

The author deals with the equation (*) \(x^{(n)}(t)=p(t)\cdot x(g(t))\) for even \(n\in {\mathbb{N}}\) in the interval [0,\(\infty)\), where the functions p, q are continuous, \(p(t)>0\), \(\lim_{x\to\infty }g(t)=\infty\) and g is non-decreasing. Assuming for an \(\epsilon >0\) that \(\int^{\infty}[\min\{g(t),t\}]^{n-1-\epsilon}p(t)dt=\infty\) and under some additional assumptions the author obtains two theorems on oscillatory solutions to the equation (*).